A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events: A:{ One of the balls is yellow } B:{ At least one ball is red } C:{ Both balls are green } D:{ Both balls are of the same col

Step-by-step explanation:

Given that a box contains one yellow, two red, and three green balls.

Two balls are randomly chosen without replacement.

A) one ball is yellow:

This means one is yellow and other can be any other colour

i. e. drawing one yellow and one from 5 remaining.

This can be as (y, r) (y, g) (r, y) or (g, y)

where y for yellow, r for red and g for green.

B) { At least one ball is red }

This means the two balls should not be different from red.

The favorable outcomes are two red, (one red, one yellow) (one green, one red). But should not be (green, yellow)

C) : { Both balls are green }

Here the balls drawn should be only green, green and not any other combination.

D) { Both balls are of the same col

Since yellow is one, there cannot be two yellows

Hence only possibilities are (red, red) or (green, green)