Saby 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: Number on the Cube Number of Times Rolled 1 18 2 25 3 12 4 32 5 3 6 10 Heads Tails 56 44 Using Saby's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?

Question

Mathematics

Goldie

24 April, 23:01

Saby 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: Number on the Cube Number of Times Rolled 1 18 2 25 3 12 4 32 5 3 6 10 Heads Tails 56 44 Using Saby's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?

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Answers (1)

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Ellen Garrison · Answer 1

Short Answers

P (Both) = 0.1792

Givens

The total number of roles = 100

Total number of heads = 56

Number of times rolled a four = 32 [check this for me].

Set up the probabilities.

P (H) = 56/100

P (4) = 32/100

P (H) * P (4) = P (Both)

Substitute and solve

P (Both) = 56/100 * 32/100 = 1792/10000

P (Both) = 112/625 because there are many cancellations. Or you could just express it as 0.1972