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A and B are independent events such that P(A ∩ B̄) = 1/4 and P(Ā ∩ B) = 1/6. Find P(A) and P(B).
Let A and B be two events such that P(A) = 5/8, P(B) = 1/2 and P(A/B) = 3/4. Find the value of P(B/A).
In a game of Archery, each ring of the Archery target is valued. The centremost ring is worth 10 points and rest of the rings are allotted points 9 to 1 in sequential order moving outwards. Archer A is likely to earn 10 points with a probability of 0·8 and Archer B is likely the earn 10 points with a probability of 0·9. Based on the above information, answer the following questions : If both of them hit the Archery target, then find the probability that
Events A and B are such that P(A) = 1/2, P(B) = 7/12 and P(A̅ ∪ B̅) = 1/4. Find whether the events A and B are independent or not.
A box B₁ contains 1 white ball and 3 red balls. Another box B₂ contains 2 white balls and 3 red balls. If one ball is drawn at random from each of the boxes B₁ and B₂, then find the probability that the two balls drawn are of the same colour.
A bag contains cards numbered 1 to 25. Two cards are drawn at random, one after the other, without replacement. Find the probability that the number on each card is a multiple of 7.
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