Question

To play a game, a number cube with sides numbered 1 through 6 is rolled and a fair coin is flipped.

Use a table to represent the sample space.

What is the probability of flipping a head AND rolling either a 3 or a 5? Round the percent to the nearest tenth.

Answer 1

16.7%

Explanation:

Please check below attachment for sample space table

Firstly, we have the total number of possible results as 12

From the 12, the probability of flipping a head is 6/12

Rolling either a 3 or a 5 is the sum of places we have both divided by the possible total of 12

we have this as ; 2/12 + 2/12 = 4/12

The term ‘AND’ means we have to multiply the two probabilities as follows;

4/12 * 1/2 = 1/6 = 0.1667

To the nearest tenth, we have this as 16.67% which is 16.7%