Question

Kayla rolls a die 84 times. How many times can she expect to roll a 3?

A. 14
B. 21
C. 12
D. 18

Answer 1

A 14 is the correct answer I believe

Answer 2

`\huge\boxed{\sf 14\ times}`

Explanation:

Formula:

`\displaystyle Probability = (Possible \ no. \ of\ events)/(Total \ number\ of \ events)`

Solution:

If we roll a die 1 time, the probability of obtaining a 3 is:

= 1 / 6

Because a die has total 6 faces, out of which 3 is only 1.

But, if we roll it 84 times, it becomes:

=
`\displaystyle (1)/(6) * 84`

= 84/6

= 14 times

`\rule[225]{225}{2}`