Question

a box contains 7 red and 5 blue balls two balls are drawn at random.find the probability that they are of same color​

Answer 1

Answer:

7/52 5/52

Explanation:

that is the probability of that ur answer

Answer 2

Given,

A box contains 7 red and 5 blue balls.

To Find,

The probability that they are of the same color​.

Solution,

We can solve the question as follows:

It is given to us that a box contains 7 red and 5 blue balls.

We know that the probability of an event occurring is given as the number of favourable outcomes divided by the total number of outcomes.

$Probability, P = \frac{Number \: of\: favorable\: outcomes}{Total\: number\: of\: outcomes}$

Now, using the above formula

The probability of drawing a red ball is:

Favorable outcomes =7

Total outcomes = Total number of balls in the box = 12

Probability of drawing a red ball = $\frac{7}{12}$

The probability of drawing a blue ball is:

Favorable outcomes =5

Total outcomes = Total number of balls in the box = 12

Probability of drawing a red ball = $\frac{5}{12}$

Now, considering that the balls are picked up with replacement,

The probability that both the balls are of the same color i.e. either red or blue is:

The probability that both balls are red = $\frac{7}{12}* \frac{7}{12}$ $= \frac{49}{144}$

The probability that both balls are blue = $\frac{5}{12}*\frac{5}{12}$ $= \frac{25}{144}$

Hence, the probability that they are of the same color​ is either 49/144 or 25/144.