(C) Total number of pens in the first box = $4 + 2 = 6$. Total number of pens in the second box = $3 + 5 = 8$. The probability of selecting a white pe

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(C) Total number of pens in the first box = $4 + 2 = 6$. Total number of pens in the second box = $3 + 5 = 8$. The probability of selecting a white pen from the first box = $\frac{4}{6} = \frac{2}{3}$. The probability of selecting a white pen from the second box = $\frac{3}{8}$. Since the events are independent,the probability that both pens are white = $\frac{2}{3} \times \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$.

Class 11 Mathematics Probability Set Based probability

Easy

$A$ box contains $4$ white pens and $2$ black pens. Another box contains $3$ white pens and $5$ black pens. If one pen is selected from each box,then the probability that both the pens are white is equal to

A
$\frac{1}{2}$
B
$\frac{1}{3}$
C
$\frac{1}{4}$
D
$\frac{1}{5}$

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Set Based probability

$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

Easy

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$A$ pair of dice is thrown twice in succession. The probability of getting prime numbers on both the dice in the first throw and composite numbers on both the dice in the second throw is

MediumTS EAMCET 2022

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There are four men and six women on the city council. If one council member is selected for a committee at random,what is the probability that the selected member is a woman (in $/5$)?

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If $A, B$ and $C$ are mutually exclusive and exhaustive events of a random experiment such that $P(B) = \frac{3}{2} P(A)$ and $P(C) = \frac{1}{2} P(B)$, then $P(A \cup C)$ equals to

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$A$ box contains $4$ white pens and $2$ black pens. Another box contains $3$ white pens and $5$ black pens. If one pen is selected from each box,then the probability that both the pens are white is equal to

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$A$ die is thrown. Describe the following events: $A$: a number less than $7$,$B$: a number greater than $7$,$C$: a multiple of $3$. Find $B \cup C$.

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