Question

Name.......

1. When you roll a fair dice, what is the probability that you obtain:
An odd number, a 2, a multiple of 3, a number less than 5, a prime number, a 3 or a number less than 3

Answer 1

(Below)

Explanation:

To find the probability of an outcome, we will express it as a ratio of the number of outcomes that satisfy our conditions to the number of total possible outcomes.

An odd number:

There are 3 odd numbers in the dice, so the probability is:

`(3)/(6)=50%`%

A 2:

There's just one 2 in the dice, so the probability is:

`1/6=16.66...`%

A multiple of 3:

There are 2 numbers that are a multiple of 3, 3 itself, and 6, so the probability is:

`2/6=33.33...`%

A number less than 5:

There are four numbers less than 5, and they are 1, 2, 3, and 4, so the probability is:

`4/6=66.66...`%

A prime number:

There are 3 prime numbers on the dice, and they are 2, 3, and 5 (1 is neither composite nor prime), so the probability is:

`3/6=50`%

A 3 or a number less than 3:

There are 3 numbers that are 3 or less than 3, and they are 1, 2, and 3, so the probability is:

`3/6=50`%