A die has two faces each with number ^{prime}1^{prime} , three faces each with number ^{prime}2^{pri

English

Gujarati

Hindi

14.Probability

easy

A die has two faces each with number $^{\prime}1^{\prime}$ , three faces each with number $^{\prime}2^{\prime}$ and one face with number $^{\prime}3^{\prime}$. If die is rolled once, determine $P($ not $3)$

A

$\frac{5}{6}$

B

$\frac{5}{6}$

C

$\frac{5}{6}$

D

$\frac{5}{6}$

Solution

Total number of faces $=6$

Number of faces with number $^{\prime}3^{\prime}=1$

$\therefore $ $P(3)=\frac{1}{6}$

Thus, $P($ not $3)=1-P(3)=\frac{1}{6}=\frac{5}{6}$

Standard 11

Mathematics

Share

Similar Questions

Two dice are thrown. The events $A,\, B$ and $C$ are as follows:

$A:$ getting an even number on the first die.

$B:$ getting an odd number on the first die.

$C:$ getting the sum of the numbers on the dice $\leq 5$

State true or false $:$ (give reason for your answer)

Statement : $A$ and $C$ are mutually exclusive

easy

The number $1,\,2,\,3$ and $4$ are written separately on four slips of paper. The slips are put in a box and mixed thoroughly, A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

easy

A bag contains $19$ tickets numbered from $1$ to $19$. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show even number, is

easy

The corners of regular tetrahedrons are numbered $1, 2, 3, 4.$ Three tetrahedrons are tossed. The probability that the sum of upward corners will be $5$ is

medium

There are $10$ pairs of shoes in a cupboard from which $4$ shoes are picked at random. The probability that there is at least one pair, is

hard