Abel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:

Number on the Cube Number of Times Rolled

1 12

2 18

3 30

4 22

5 10

6 8

Heads Tails

34 66

Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails?

Question

Mathematics

Amya Heath

5 April, 02:01

Abel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:

Number on the Cube Number of Times Rolled

1 12

2 18

3 30

4 22

5 10

6 8

Heads Tails

34 66

Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails?

+2

Answers (1)

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Dominik Moore · Answer 1

He running of the simulation serves to give us an approximate probability of each of the outcomes, so in this case, P (Tails) = 66/100 and P (2) = 18/100. The probability of two independent things occurring can be written as P (A) * P (B). Therefore, the probability of a 2 and tails is (66/100) * (18/100) = 0.1188 = 1188/10000