Question

Dan used a probability simulator to roll a 6-sided number cube and flip a coin 100 times.

The results are shown in the tables below:

Numbers on the Cube: 1, 2, 3, 4, 5, 6
Number of Times Rolled: 19, 26, 13, 23, 8, 11

Heads: 48
Tails: 52

Using Dan's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?

Answers:

A) 48 over 100

B)71 over 100

C) 1002 over 10000

D)1104 over 10000

Answer 1

Step One
Calculate the probablilty of a heads.

P(H) = Number of heads / Total number of Throws.
P(H) = 48 / 100

Step Two 
Calculate the probability of getting a 4 face up on the cube.
According to the table, 4 showed up 23 times.
P(4) = Number of times four / Total number of throws.
P(4) = 23 /100

Step Three
Combination P(Heads and 4) = 23/100 * 48/100 = 1104/10000

Answer D