Question

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? fraction 84 over 10,000

fraction 1,188 over 10,000

fraction 18 over 100

fraction 66 over 100

Answer 1

To find the probability of the number cube landing on 2 and the coin landing on tails, we need to find the number of times both events occurred together.

From the given data:
Number of times rolling a 2 on the number cube = 18
Number of times the coin landed on tails = 66

Number of times both events occurred together = 18

Now, to find the total number of times both events were conducted:
Total number of times rolling the number cube = 100
Total number of times the coin was flipped = 100

Total number of times both events were conducted = 100

Therefore, the probability of rolling a 2 on the number cube and the coin landing on tails is calculated as:
(Number of times both events occurred together) / (Total number of times both events were conducted)
= 18 / 100
= 0.18

The probability 0.18 as a fraction is:
18/100

So, the answer is fraction 18 over 100.