Back to PROBABILITY

JEE MATHEMATICS MCQ: PROBABILITY

1 Easy

1 of 1

Application +4 | -1

A

and

B

are two events such that odds against

A

are

2: 1

odds in favour of

A \cup B

are

3: 1

. If

x \leq P(B) \leq y

, then the ordered pair

(x, y)

is

View answer and explanation

Correct option: A

(5 / 12,3 / 4)

Option A (

\left(\frac{{5}}{{12}}, \frac{{3}}{{4}}\right)

) is correct because it determines the range of P(B) based on the given probabilities and the properties of probability.

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