Question

If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll an odd number?

Answer 1

`0.015625`

Explanation:

Given: A 6-sided die is rolled 6 times

To find: the best prediction possible for the number of times you will roll an odd number

Solution:

Probability refers to the chances of occurrence of some event.

If a 6-sided die is rolled, possible outcomes are 1, 2, 3, 4, 5 and 6

So, total number of outcomes = 6

Out of the possible outcomes, favourable outcomes ( odd number ) are 1, 3, 5

So, number of favourable outcomes = 3

So,

the best prediction possible for the number of times you will roll an odd number = probability of getting an odd number if a die is rolled = number of favourable outcomes/total number of outcomes

=
`(3)/(6) =(1)/(2)=0.5`

Therefore,

the best prediction possible for the number of times you will roll an odd number when a 6-sided die is rolled 6 times =
`(0.5)^6=0.015625`