A die is thrown, probability of following events: A number less than 6 will appear,

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14.Probability

easy

A die is thrown, find the probability of following events: A number less than $6$ will appear,

A

$\frac{5}{6}$

B

$\frac{5}{6}$

C

$\frac{5}{6}$

D

$\frac{5}{6}$

Solution

The sample space of the given experiment is given by

$S=\{1,2,3,4,5,6\}$

Let $E$ be the event of the occurrence of a number less than $6.$

Accordingly, $E =\{1,2,3,4,5\}$

$\therefore P(E)=\frac{\text { Number of outcomes favourableto } E}{\text { Total number of possible outcomes }}=\frac{n(E)}{n(S)}=\frac{5}{6}$

Standard 11

Mathematics

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