Answer:
[tex]0.015625[/tex]
Step-by-step 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
=[tex]\frac{3}{6} =\frac{1}{2}=0.5[/tex]
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 = [tex](0.5)^6=0.015625[/tex]
