Question 1 of 15
You are given that A and B are two events such that P(b) = 35, P(A|B) =45, then P(A) equals
This A level Probability Quiz 2 quiz contains 15 multiple choice questions designed to help you revise and test your A level Maths Mechanics and Probability Quizzes knowledge. Select an answer for each question and click “Submit Answer” to see instant feedback. Take your time and try to score as high as possible!
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As a branch of mathematics, Probability is concerned with the numerical description which deals with how likely an event is to occur. It is important to note that the probability of an event is a number which is always between 0 and 1 with 0 indicating that the event is totally impossible and a probability of 1 indicating that the event is certain.
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Question 1 of 15
You are given that A and B are two events such that P(b) = 35, P(A|B) =45, then P(A) equals
Question 2 of 15
A and B are events such that P(A) = 0.4, P(b) = 0.3 and P(A ∪ B) = 0.5. Then P(B’ ∩ A) equals
Question 3 of 15
If A and B are two events and A ≠ Φ, B ≠ Φ, then
Question 4 of 15
If P(A) = 0.4, P(b) = 0.8 and P(B|A) = 0.6, then P(A ∪ B) equal to
Question 5 of 15
If A and B are two events sue that P(A) = 12, P(b) = 13, P(A|B) = 14 then (A’ ∩ B’) equals
Question 6 of 15
If P(A) = 25, P(B) = 310 and P(A ∩ B) = 15, then P(A’|B’) . (P(B’|A’) is equal to
Question 7 of 15
If P(A) = 3/10, P(b) = 2/5 and P(A ∪ B) = 3/5, then P(B|A) + P(A|B) equals
Question 8 of 15
If P(A ∩ B) = 7/10 and P(b) = 17/20, P(A|B) equals
Question 9 of 15
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both clubs. Find the probability of the lost card being a club.
Question 10 of 15
A bag contains 3 green and 7 white balls. Two balls are drawn one by one at random without replacement. If the second ball drawn is green, what is the probability that the first ball was drawn in also green?
Question 11 of 15
A bag contains 4 balls. Two balls are drawn at random and are found to be white. What is the probability that all balls are white?
Question 12 of 15
A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.
Question 13 of 15
Two cards from an ordinary deck of 52 cards are missing. What is the probability that a random card drawn from this deck is a spade?
Question 14 of 15
Given that, the events A and B are such that P(A) = 1/2, P(A ∪ B) = 3/5 and P(b) = P. Then probabilities of B if A and B are mutually exclusive and independent respectively are
Question 15 of 15
Two cards are drawn successively from a well shuffled pack of 52 cards. Find the probability that one is a red card the other is a queen.
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