Question

Ce-Ce rolls a pair of 6-sided dice.

How many possible outcomes are in the sample space of this experiment?

A.
6

B.
12

C.
18

D.
36

Alexis flips a coin {H, T}; then rolls a 6-sided die {1, 2, 3, 4, 5, 6}.

Which outcome is in the sample space of this experiment?

A.
TT

B.
T3

C.
24

D.
3H

Answer 1

1. D. 36
2. B. T3

Explanation:

1. For each of the 6 outcomes on the first die, there are 6 outcomes possible on the second. The total number of possible outcomes is then ...

... 6 × 6 = 36

2. The first outcome will be a letter H or T; the second will be a number 1–6. An outcome of TT represent two coin tosses; an outcome of 24 represent two die rolls; an outcome of 3H represents a die roll followed by a coin toss. None of these three scenarios matches the problem statement.

A coin toss followed by a die roll may have an outcome of T3.