A box contains 4 red balls and 6 black balls

Asked by admin @ 04/08/2021 in Math viewed by 363 People

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is

Answered by admin @ 04/08/2021

Given : A box contains 4 red balls and 6 black balls.

Three balls are selected randomly from the box one after another, without replacement.

To Find : The probability that the selected set contains one red ball and two black balls is

Solution:

Red = 4

Black = 6

Total = 10

3 out of 10 can be selected in ¹⁰C₃ = 120

set contains one red ball and two black balls

Number of ways

⁴C₁*⁶C₂

= 4 * 15

= 60

probability that the selected set contains one red ball and two black balls is = 60/120

= 1/2

= 0.5

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