Question

A dice is rolled . Find the probablity of getting
1. a number greater than 5
2. a multiple of 5
3. a prime number
4. an even number​

Answer 1

Answer:

1. 1/6

2. 10/36

3. 5/12

4. 9/18

Answer 2

✧ Given :-

The dice is rolled.

The possible outcomes of the dice is :- 1, 2, 3, 4, 5, 6.

✧ To find the probability of :-

A number greater than 5.

A multiple of 5.

A prime number.

An even number.

$\sf { \underline{ \green{ ✧ \purple A \red n \orange s \pink w \blue e \green r: -}}}$

$\sf \: (1) \frac{1}{6} \\ \sf (2)\frac{1}{6} \\ </p><p> \sf (3)\frac{3}{6} \\ </p><p>\sf( 4) \frac{3}{6}$

✯ Step by step Explanation✯

• As we know that in there is only one number greater than 5 i.e., 6

$\bf\bold\therefore { The \: probability \: of \: a number \: greater \: than \: 5\: will\: be \: = { \bold{\green{\frac{1}{6}}}}}$

Q. 2. Here, the multiple of 5 is only one i.e., 5

$\bf\bold\therefore { The \: probability \: of \: getting \: multiple\: 5\: will\: be \: = { \bold{\purple{\frac{1}{6}}}}}$

Q. 3. The outcomes of getting prime numbers in a dice are :- 2, 3, 5,

$\bf\bold\therefore { The \: probability \: of \: getting \: prime \: no.\: will\: be \: = { \bold{\blue{\frac{\cancel3}{\cancel6}= \frac{1}{2}}}}}$

Q. 4. The outcomes of getting even in a dice numbers are :- 2, 4, and 6

$\bf\bold\therefore { The \: probability \: of \: getting \:even \: no.\: = { \bold{\pink{\frac{\cancel3}{\cancel6}= \frac{1}{2}}}}}$

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