Find the probability of rolling an even number and then rolling a 6 when a number cube is rolled twice.. Express the probability as percent rounded to 1 decimal place. P(even and then a 6) = _____ %

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Formula :

Probability = Favorable outcome/Total outcome 

Total outcome of rolling a cube :

1,2,3,4,5,6

Total outcome = 6

Favorable outcome (even number) = 3 (2,4,6)

Probability = 3/6

= 1/2

Favorable outcome (6) = 1

Probability = 1/6

So, Total Probability = 1/2 × 1/6

= 1/12

Probability (in %) = 1/12 × 100%

= 8.33 %

 

Hence, P(even and then a 6) = 8.33 %