Question

1. You create a game that involves flipping a coin and rolling a six-sided die. When a player takes their turn they first flip the coin to determine if they are going to deal or receive damage. The person then rolls the die to determine the amount of damage dealt.
   1. For this game, explain the difference between an event versus a simple event. What does that have to do with sample space
2. 2. Give the sample space for the game. Use H for heads, T for tails, and digits for the sides of the die.

Answer 1

Ans.

(a). A simple event is an event in which there is one outcome at a single time and all outcomes are equally likely. However, the compound event consists of more than one outcome at a single time and it combines at least two single events.

The sample space contains all the possible events, for this game first a coin flip and after that, a die is tossed.

So, the probability of coin comes head or tail is (1/2) and the probability of a number on a die is (1/6).

The probability of a coin flip and a die tossed is (1/2)*(1/6) = (1/12).

(b). The sample space for this game is given as,

S = (H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)