Question

a box contains 2 red marbles balls 3 white marble balls 5 green marble balls if two balls are drawn at random then the probability of getting both white is
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Answer 1

SOLUTION

GIVEN

• A box contains 2 red marbles balls 3 white marble balls 5 green marble balls

• Two balls are drawn at random

TO DETERMINE

The probability of getting both white

EVALUATION

Here it is given that a box contains 2 red marbles balls 3 white marble balls 5 green marble balls

So the total number marble balls

= 2 + 3 + 5

= 10

Now 2 balls are drawn at random

So the total number of possible outcomes

$\sf{ = \: {}^{10}C_2 }$

$= 45$

Let A be the event that both balls are white

Then the total number of possible outcomes for the event A is

$\sf{ = \: {}^{3}C_2 }$

$= 3$

Hence the required probability

= P(A)

$= \displaystyle \sf{ \frac{3}{45} }$

$= \displaystyle \sf{ \frac{1}{15} }$

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