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JEE MATHEMATICS MCQ: PROBABILITY
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Application
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For the married couple living in Jammu, the probability that a husband will vote in an election is 0.5 and the probability that his wife will vote is 0.4 . The probability that the husband votes, given that his wife also votes is 0.7 . Then the probability that husband and wife both will vote is
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Correct option: A
0.28
Option A (0.28) is correct because the probability of both events occurring is calculated using conditional probability: P(A ∩ B) = P(B) * P(A|B).
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Consider the probability distribution
The value of is A bag contains coins. It is known that of these coins have a head on both sides, whereas the remaining coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is 31/42, then is equal to The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05 . What is the probability that out of 5 such bulbs none will fuse after 150 days of use If and are two independent events such that and , then is equal to In a game two players and take turns in throwing a pair of fair dice starting with player and total of scores on the two dice, in each throw is noted. A wins the game if he throws a total of 6 before throws a total of 7 and wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the player wins. The probability of winning the game is A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same colour is
The value of is A bag contains coins. It is known that of these coins have a head on both sides, whereas the remaining coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is 31/42, then is equal to The probability that a bulb produced by a factory will fuse after 150 days of use is 0.05 . What is the probability that out of 5 such bulbs none will fuse after 150 days of use If and are two independent events such that and , then is equal to In a game two players and take turns in throwing a pair of fair dice starting with player and total of scores on the two dice, in each throw is noted. A wins the game if he throws a total of 6 before throws a total of 7 and wins the game if he throws a total of 7 before A throws a total of six. The game stops as soon as either of the player wins. The probability of winning the game is A box contains 5 brown and 4 white socks. A man takes out two socks. The probability that they are of the same colour is
