Suppose you roll a six-sided die and flip two coins. What is the chance that the die will come up as a 5 or a 6 and you'll get two tails?

Question

QUESTION 3

Suppose you roll a six-sided die and flip two coins. What is the chance that the die will come up as a 5 or a 6 and you'll get two tails?

Express your answer as a value between 0 and 1, rounded to two decimal places.

Answer 1

Hi Casey,

 

Assuming the die and the coins are fair,

 

The chance of rolling a 5 or 6 is 2/6 which reduces to 1/3

 

The chance of two coins being tossed and both landing on tails is 1/2 x 1/2 = 1/4

 

The probability of both of these events happening is 1/3 x 1/4 = 1/12

 

1/12 = .08