Question

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are drawn at random, what is the probability that at least one is green?

Answer 1

Solution:-

Given:-

A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles.

To Find:-

Probability that at least one is green.

Find:-

A box Contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles.

So, Total Marbles is the box is 15 Marbles.

Hence,

Total Outcome = 15.

Now,

Probability of Getting at least one Green.

There are 6 Green, so any of these can be drawn.

Hence,

Favourable Outcome = 6.

Probability of Getting at least one Green = Favourable Outcome / Total Outcome

=> Probability of Getting at least one Green = 6/15

Hence,

The Possibility that the drawn Marble is Green is 6/15.