Number on the Cube Number of Times Rolled

1 16

2 14

3 5

4 17

5 21

6 27



Heads Tails

41 59



Using Jack's simulation, what is the probability of rolling a 6 on the number cube and the coin landing on heads?

fraction 1,107 over 10,000

fraction 1,593 over 10,000

fraction 27 over 100

fraction 41 over 100

Verified Answer :

Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 = \(\frac{27}{100}\)
Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head = \(\frac{41}{100}\)
Therefore, probability of rolling a 6 and tossing a head = \(\frac{27}{100}\times\frac{41}{100}=\frac{1107}{10000}\)