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JEE MATHEMATICS MCQ: PROBABILITY

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A class consists of 100 students, 25 of them are girls and 75 boys, 20 of them are rich and remaining poor, 40 of them are fair complexioned. The Probability of selecting a fair complexioned rich girl is

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Correct option: A

0.02

Option A (0.02) is correct because it's the product of the probabilities of selecting a fair-complexioned student, a rich student, and a girl, assuming independence.

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Consider the probability distribution

\begin{array}{cccccc}X: & 1 & 2 & 3 & 4 & 5 \\ P(X): & k^2 & 2 k & k & 2 k & 5 k^2\end{array}

P(X>2)

is A bag contains

\left( {2\;n + 1} \right)

coins. It is known that

n

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n + 1

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

n

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A

B

are two independent events such that

P\left( {A \cap B'} \right) = \frac{3}{{25}}

P\left( {A' \cap B} \right) = \frac{8}{{25}}

P\left( A \right)

is equal to In a game two players

A

B

take turns in throwing a pair of fair dice starting with player

A

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

B

throws a total of 7 and

B

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

A

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