Question

A standard six-sided die is rolled three times. Use multiplication to determine the probability that a one or two appears on the second roll, and an odd number appears on the third roll

Answer 1

1/6

Explanation:

Since we don't care what appears on the first roll

P( outcome) = 1

Second roll

P(1 or 2) = number of 1 or 2 / total number of outcomes

=2/6 = 1/2

Third roll

odd numbers 1,3,5

P( odd number)= number of odd numbers/ total

=3/6 =1/2

P( outcome, 1or 2, odd) = P( outcome) *P(1 or 2) *P( odd number)

= 1* 1/3 * 1/2

= 1/6