Question

A number cube is rolled and a coin is flipped. Let H stand for heads and T for tails. What is the sample space for the experiment?

Answer 1

Answer: S={(1,H) , (1,T) , (2,H) , (2,T) , (3,H) , (3,T) , (4,H) , (4,T) , (5,H) , (5,T) , (6,H) , (6,T)}

Explanation:

Given: A number cube is rolled and a coin is flipped.

Let H stand for heads and T for tails.

Then the sample space will contain pairs in which the first one shows the number on dice and the second one shows the the outcome for coin after dice is thrown.

Now, the required sample space will be

S={(1,H) , (1,T) , (2,H) , (2,T) , (3,H) , (3,T) , (4,H) , (4,T) , (5,H) , (5,T) , (6,H) , (6,T)}