First slide

Theorems of probability

Question

Two boys are asked to select each one number from 1 to 100, the probability that they select different numbers is

Easy

A

$\frac{99}{100}$
B

$\frac{1}{100}$
C

$\frac{^{100} C_{2}}{100^{2}}$
D

$\frac{100 \times 99}{^{100} C_{2}}$

Solution

$n (S) = {(100)}^{2}$

E=Select different numbers

$n (E) = 100 \times 99$

$P (E) = \frac{100 \times 99}{{(100)}^{2}} = \frac{99}{100}$

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