Question

A dice is rolled. What is the chance that the upper face will be :
(a) 3
(b) less than 3
(c) more than 3
(d) 8​

Answer 1

The chance or probability that the upper face will be 3 in a roll of an unbiased dice is  $\frac{1}{6}$ .

Given

An unbiased 6 sided dice is rolled.

To find:

Probability that the dice will get a value of

a)3

b)less than 3

c)more than 3

d)8

Solution:

From the theory of probability we know that it is the branch of mathematics which deals with the chance of a random occurrence of a particular event.

Probability is calculated by the ratio of the favorable outcome to the total outcome of any event or $P=\frac{\text{favourable outcome}}{\text{total outcome}}$

Total outcome when a dice is rolled = 6

a) favorable outcome = 1

Probability that the upper face is 3 = $\frac{1}{6}$

b) Upper face is less than 3

Favorable outcome={1,2} =2

Probability $=\frac{2}{6} =\frac{1}{3}$

c)Upper face is more than 3

Favorable outcome={4,5,6} =3

Probability $=\frac{3}{6} =\frac{1}{2}$

d) Upper face is 8 .

favorable outcome = 0

hence probability is also 0.

To learn more about probability visit:

https://brainly.in/question/1350976

https://brainly.in/question/17178501

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