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JEE MATHEMATICS MCQ: PROBABILITY
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An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is added to the urn; if the drawn ball is red, then a green ball is added to the urn the original ball is not returned to the urn. Now, a second ball is drawn at random from it. The probability that the second ball is red, is
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Correct option: B
Option B () is correct because it calculates the probability of drawing a red ball in the second draw considering the two possible scenarios of the first draw.
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Consider the probability distribution
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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