Question

A bag contains 4 red, 5 white and 6 black balls. what is the probability that two balls drawn are red and black?

Answer 1

A bag contains 4 red, 5 white and 6 black balls. what is the probability that two balls drawn are red and black?

Answer 2

The probability of the getting two red and black balls is 2/3.

Step-by-step explanation:

Given:

A bag contains 4 red, 5 white, & 6 black balls

To find:

probability of two balls drawn being red and black

Solution:

First, we calculate the n(S) for the event

S= { R1, R2, R3, R4, W1, W2, W3, W4, W5, B1, B2, B3, B4, B5, B6}

∴ n(S)= 15

Let A be the event of getting two balls as red and black

A= {R1, R2, R3, R4, B1, B2, B3, B4, B5, B6}

∴ n(A)= 10

Now, probability of event A= n(A)/n(S)

= 10/15

= 2/3

Thus, the probability of getting two red and black balls is 2/3.

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