Question

A bag contains 10 white and 15 black balls. Two balls are drawn in succession. Find the probability that one of them is black and other white.

Answer 1

probability of getting black balls is 15/25=3/5
probability of getting white balls is 10/25=2/5

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Answer 2

Answer:

The probability that one of them is black and other white is 0.25 or 25%.

Step-by-step explanation:

Given : A bag contains 10 white and 15 black balls. Two balls are drawn in succession.

To find : The probability that one of them is black and other white?

Solution :

Probability is defined as favorable outcome upon total number of outcome.

A bag contains 10 white and 15 black balls.

Total number of outcome = 10+15=25

Probability of getting black ball is

$P(B)=\frac{15}{25}$

$P(B)=\frac{3}{5}$

Now, one ball is drawn total balls left is 24.

Probability of getting white ball is

$P(W)=\frac{10}{24}$

$P(W)=\frac{5}{12}$

Now, The probability that one of them is black and other white is

$P=P(B)\times P(W)$

$P=\frac{3}{5}\times\frac{5}{12}$

$P=\frac{15}{60}$

$P=\frac{1}{4}$

$P=0.25$

Therefore, The probability that one of them is black and other white is 0.25 or 25%.