Question

A box contains 4 choco-bars and
4 ice creams. Tom eats 3 of them
one after another. What is the probability of sequentially choosing a choco-bars and ice cream?​

Answer 1

SOLUTION

GIVEN

A box contains 4 choco-bars and 4 ice creams.

Tom eats 3 of them one after another.

TO DETERMINE

The probability of sequentially choosing a choco-bars and ice cream

EVALUATION

Here it is given that the box contains 4 choco-bars and 4 ice creams.

Tom eats 3 of them one after another.

We have to find probability of sequentially choosing a choco-bars and ice cream

Total number of choco-bars and ice creams in the box

= 4 + 4

= 8

We have choose choco-bars first

Number of choco-bars = 4

So the probability

$\displaystyle\sf{ = \frac{4}{8} }$

One choco-bar removed

Total number of choco-bars and ice creams in the box

= 4 + 4 - 1

= 7

We have choose choco-bars now

Number of choco-bars = 3

So the probability

$\displaystyle\sf{ = \frac{3}{7} }$

Two choco-bar removed

Total number of choco-bars and ice creams in the box

= 4 + 4 - 2

= 6

We have choose ice creams now

Number of ice creams = 4

So the probability

$\displaystyle\sf{ = \frac{4}{6} }$

Hence the required probability

$\displaystyle\sf{ = \frac{4}{8} \times \frac{3}{7} \times \frac{4}{6} }$

$\displaystyle\sf{ = \frac{1}{7} }$

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