Question

In a class of 60 boys, 45 like pizza, 30 like burger and 5 like neither. Find number of boys who like both?

Answer 1

Concept:

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, broadly speaking.

Given:

Out of 60 boys, 45 like pizza, 30 like burgers, and 5 like neither.

To find:

The number of boys who like both.

Solution:

In a class of 60 boys, 45 like pizza, 30 like burgers, and 5 like neither.

So, let N(S)= Total no. of boys= 60

N(P)= No, of boys who like pizza= 45

N(B)= No, of boys who like burgers= 30

Now, the number of boys who like both will be=

$N(P)+N(B)-N(S)\\45+30-60\\75-60\\15$

∴The number of boys who like both is 15.

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