Question

When rolling a die and flipping a penny, what is the P(4, H)? Make a table or diagram to help get your result.

P(4, H) =

Answer 1

P(4, H) = 1/12

Explanation:

Here we have two events, let's count the number of outcomes in each one of them.

Rolling a die.

Here we have 6 possible outcomes (1, 2, 3, 4, 5, 6)

Flipping a penny.

Here we have two possible outcomes (Heads = H, Tails = T)

The total number of outcomes in the combined event will be equal to the product between the number of outcomes for each event, so we have a total of:

6*2 = 12 events, that have the same probability.

We want to find P(4, H)

This is the probability of rolling a 4 in the die and heads in the penny.

This is one outcome, and we have a total of 12 outcomes (all with the same probability)

Then the probability of each event is equal and should be 1/12 (one over the number of possible outcomes)

We can conclude that the probability P(4,H) = 1/12