Question

Amy and Rob are playing a dice game using a 10-sided fair die, with sides numbered 1 through 10. Rob earns 3 points if the number rolled is prime, and Amy earns 2 points if the number rolled is even. After 4 rolls, what is the percent probability that Amy has won more points than Rob? Express your answer to the nearest hundredth

Answer 1

60%

Step-by-step explanation:

probability = number of favorable outcomes /number of outcomes

There are four prime numbers from 1 to 10

There are 5 even numbers from 1 to 10

Therefore in one roll of the dice there is a 40% (4/10)probability that Rob would win and there is a 60%(1-0.40) probability that Amy would win

If the dice is rolled 4 times, the probability that Amy has more points than Rob remains 60%