Question

Christina rolls a number cube twice.What is the probability she rolls a prime number and then an odd number?

Answer 1

The probability is 3/6 (1/2) as there are 3 prime numbers on a dice (2,3,5) and also 3 odd numbers on a dice (1,3,5)

Answer 2

Christina rolls a number cube twice.

Number of outcomes in a cube = 1,2,3,4,5,6 = 6 outcomes

Prime numbers = 2,3,5 = 3 outcomes

Odd numbers = 1,3,5 = 3 outcomes

probability that she rolls a prime number =
`(outcome of a prime number )/(total number of outcomes)` =
`(3)/(6) = (1)/(2)`

probability that she rolls a odd number =
`(outcome of a odd number )/(total number of outcomes)` =
`(3)/(6) = (1)/(2)`

probability (a prime number and then an odd number) =

`(1)/(2)` *
`(1)/(2)` =
`(1)/(4)`