Practice Test

Q1) If an event that cannot occur, then its probability is: Show Answer

Q2) Which of the following cannot be the probability of an event? Show Answer

Q3) An event is very unlikely to happen. Its probability is closet to: Show Answer

Q4) If the probability of an event is p, then the probability of its complementary event will be:: Show Answer

Q5) The probability expressed as a percentage of a particular occurrence can never be: Show Answer

Q6) If P(A) denotes the probability of an event A, then: Show Answer

Q7) If a card is selected from a deck of 52 cards, then the probability of its being a red face card is: Show Answer

Q8) The probability that a non-leap year selected at random will contain 53 Sundays is: Show Answer

Q9) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as. Assertion(A): A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes , the probability of each is 1/2.
Reason(R): When we toss a coin , there are two possible outcomes: head or tail. Therefore, the probability of each outcome is 1/2. Show Answer

Q10) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A):If P(F)=0.20, then the probability of 'not E' is 0.80.
Reason(R): If two dice are thrown together, then the probability of getting a doublet is 5/6. Show Answer

Q11) In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choices as.
Assertion(A):The probality that a number selected at random from the number 1,2,3,.....,15 is a multiple of 4, is 1/3.
Reason(R): Two different coins are tossed simultaneously. The probability of getting at least one head is 3/4. Show Answer

Q12) Which of the following cannot be the probability of an event ? Show Answer

Q13) A coin is tossed twice. The probability of getting both heads is Show Answer

Q14) The sum of the probabilities of all elementary events of an experiment is p, then Show Answer

Q15) If an event cannot occur, then its probability is Show Answer

Q16) An event is very unlikely to happen. Its probability is closest to Show Answer

Q17) A card is drawn from a well-shuffled deck of 52 playing cards. The probability that the card will not be an ace is Show Answer

Q18) An experiment whose outcomes has to be among a set of events that are completely known but whose exact outcomes is unknown is a Show Answer

Q19) The experiments which when repeated under identical conditions produce the same results or outcomes are known as Show Answer

Q20) A man is known to speak truth 3 out of 4 times. He throws a die and a number other than six comes up. Find the probability that be reports it is a six. Show Answer

Q21) One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ..., 99. Suppose x is the sum of digits and y is the product of digits, then probability that x = 9 and y = 0 is Show Answer

Q22) In a family of three children, the probability of having at least one boy is: Show Answer

Q23) The probability that a number selected at random from the numbers 1, 2, 3, 4, ...., 15 is a multiple of 4 is Show Answer

Q24) If two dice are rolled together, the probability of getting an even number on both the dice is: Show Answer

Q25) A number is selected at random from numbers 1 to 30. The probability that it is a prime number is: Show Answer

Q26) Two different coins are tossed simultaneously. The probability of getting at least one head is: Show Answer

Q27) A bag contains cards numbered 1 to 25. A card is drawn at random from the bag. The probability that the number on the card is divisible by both 2 and 3 is: Show Answer

Q28) The probability of getting an even number when a die is thrown once is: Show Answer

Q29) A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23 is: Show Answer

Q30) One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number that is a multiple of 7 is: Show Answer

Q31) Two dice are thrown together. The probability of getting the same number on both the dice is: Show Answer

Q32) Cards bearing numbers 2, 3, 4, ...., 11 are kept in a bag. A card is drawn at random from it. The probability of getting a card with a prime number is: Show Answer

Q33) The probability of throwing a number greater than 2 with a single die is: Show Answer

Q34) Which of the folloing cannot be the probability of an event: Show Answer

Q35) A die thrown once. What is the probability of getting a number less than 3? Show Answer

Q36) Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out of the bag at random. What is the probability that the number on the card taken out is an even number? Show Answer

Q37) A bag contains 4 red and 6 black balls. A ball is taken out of the bag at random. What is the porbability of getting a black ball? Show Answer

Q38) A card is drawn out from a well-shuffled deck of 52 cards. What is the probability of getting a black king? Show Answer

Q39) Two friends were born in the year 2000. What is the probability that they have the same birthday? Show Answer

Q40) What is the probability that two friends have different birthdays? Show Answer

Q41) A die is thrown once. The probability of getting a prime number is: Show Answer

Q42) What is the probability of an impossible event? Show Answer

Q43) The probability of getting a number four or more in throwing a die is: Show Answer

Q44) The probability of an event that is certain to happen is: Show Answer

Q45) The probability of a sure event is............ Show Answer

Q46) In a family of 3 children, the probability of having at most two girls is .......... Show Answer

Q47) A number is selected at random from first 50 natural number, then the probability of getting a perfect square is ........... Show Answer

Q48) The sum of the probability of all the elementary events of an experiment is ........... Show Answer

Q49) Assertion : In a cricket match a batsman hits a boundary 9 times out of 45 balls he plays. The probability that in a given throw he does not hit the boundary is 4/5.
Reason : P(E) + P (not E) = 1. Show Answer

Q50) Assertion : The probability of a sure event is 1.
Reason : Let E be an event. Then 0 < P (E) < 1. Show Answer

Q51) Assertion : It is given that in a group of 3 students, the probability of 2 students not having the same birthday is 0.992, then the probability that the 2 students have the same birthday is 0.128.
Reason : If n (A) = 1 and n (S) = 13, then P (A) = 13. Show Answer

Q52) The probability, first boy pick the card and he get the card with an even numbers is: Show Answer

Q53) If the card drawn in first case is replaced and the second boy draws a card. What is the probability getting a prime number? Show Answer

Q54) If the card drawn is not replaced in the second drawn, the probability that he got a multiple of 3 greater than 4 is: Show Answer

Q55) For a sure event A, P (A) =? Show Answer

Q56) If all cards drawn are replaced then the probability of getting a multiple of 3 and 5 is: Show Answer

Q57) The probability that the arrow will point at 2 is: Show Answer

Q58) The probability that the arrow will point at an even numbers is: Show Answer

Q59) The probability that the arrow will point at prime number is: Show Answer

Q60) The probability that the arrow will point at a number divisible by 3 is: Show Answer

Q61) The probability that the arrow will point at a number greater than 2 is: Show Answer

Q62) How many triangles are of red colour and how many squares are of red colour? Show Answer

Q63) Find the probability that lost piece in square: Show Answer

Q64) Find the probability that lost piece in triangle: Show Answer

Q65) Find the probability that lost piece is square of blue colour? Show Answer

Q66) Find the probability that lost piece is triangle of red colour? Show Answer

Q67) To win a game, Ruby wanted a total of 7. What is the probability of winning a game by Ruby? Show Answer

Q68) To win a game, Rita wanted a total 8 as the sum. What is the probability of winning a game by Rita? Show Answer

Q69) What is the probability that the numbers on the both the dice is divisible by 4
or 6? Show Answer

Q70) The probability that the sum of the numbers on the both of the dice is divisible by 10 is: Show Answer

Q71) The probability that 5 will come up at least in 1 die is: Show Answer

Q72) The probability of favourite colour being red is: Show Answer

Q73) The probability of favourite colour being blue or green is: Show Answer

Q74) The probability of favourite colour not being red or blue is: Show Answer

Q75) The probability of favourite colour not being orange or green? Show Answer

Q76) The probability of favourite colour being red or blue is: Show Answer

Q77) Find the probability of getting a king of red colour. Show Answer

Q78) Find the probability of getting a face card. Show Answer

Q79) Find the probability of getting a jack of hearts. Show Answer

Q80) Find the probability of getting a red face card. Show Answer

Q81) Find the probability of getting a spade. Show Answer

Q82) Ravi got first chance to roll the dice. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 8 ? Show Answer

Q83) Rahul got next chance. What is the probability that he got the sum of the two numbers appearing on the top face of the dice is 13 ? Show Answer