Answer:
see below
Step-by-step explanation:
The possible outcomes are 1,2,3,4,5,6
P( a prime number and a multiple of two)
The only prime number that is a multiple of 2 is 2
P( a prime number and a multiple of two) = number of outcomes / total outcomes
P( a prime number and a multiple of two) = 1/6 = .17
P(3 or a prime number)
The prime numbers are 2,3,5 and 3 is included in this list so we have 3 outcomes
P( 3 or a prime number) = number of outcomes / total outcomes
P( 3 or a prime number) =3/6 =1/2= .5
P(3 U Multiple of 2)
Multiples of 2 are 2,4,6 and add 3 to the list so there are 4 outcomes
P( 3 U Multiple of 2) = number of outcomes / total outcomes
P( 3 or a prime number) =4/6 =2/3= .67
P(2 U Even number)
even numbers are 2,4,6 and 2 is on the list so there are 3 outcomes
P( 2 U Even number) = number of outcomes / total outcomes
P( 3 or a prime number) =3/6 =1/2= .5
