Back to PROBABILITY

JEE MATHEMATICS MCQ: PROBABILITY

1 Medium

1 of 1

Analyzing +4 | -1

A

is a set containing

n

elements. A subset

P

of

A

is chosen at random. The set

A

is reconstructed by replacing the elements of

P

. A subset

Q

is again chosen at random. The probability that

P \cup Q

contains just one element, is

View answer and explanation

Correct option: B

\frac{3 n}{4^n}

Option B (

\frac{{3 n}}{{4^n}}

) is correct because it represents the probability of

P \cup Q

containing exactly one element, considering all possible choices for sets P and Q.

More Questions from PROBABILITY

Practice All Chapter MCQs →

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

of these coins have a head on both sides, whereas the remaining

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

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

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