a red ball and 4 white ball are in a box if two balls are drawn without replacement, what is the probability of getting a red ball on the first drawn and a white ball on the second

The probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.

Step-by-step explanation:

There are 1 red ball and 4 white balls in a box. The total number of balls in the box = 1 red + 4 white = 5 balls.

The two balls are drawn without replacement.

Drawing the first ball:

The first draw should be a red ball.

The probability to get a red ball = No. of red balls / Total balls in the box.

We know that, No. of red balls is 1 and total balls in the box is 5.

P (red ball) = 1/5

Drawing the second ball:

The second draw should be a white ball.

The probability to get white ball = No. of white balls / Total balls in the box.

We know that,

No. of white balls is 4.

The total balls in the box after the first draw will be 4 balls.

P (white ball) = 4/4

The probability of getting a red ball on the first drawn and a white ball on the second draw = P (red ball) * P (white ball)

⇒ (1/5) * (4/4)

⇒ 4/20

⇒ 1/5

Therefore, the probability is 1/5 to get a red ball in 1st draw and a white ball in 2nd draw.