Use the table to answer the question. Number of Cube Rolls Coin Flips Cube Rolls=1 Cube Rolls=2 Cube Rolls=3 Cube Rolls=4 Cube Rolls=5 Cube Rolls=6 Total Heads 9 15 12 8 9 6 59 Tails 8 6 11 12 14 10 61 Total 17 21 23 20 23 16 100 Given that a coin is flipped and lands on heads, what is the probability that the number cube was rolled 6 times?

1 answer

The probability of rolling the cube 6 times given that the coin lands on heads is the number of times the cube was rolled 6 times and landed on heads divided by the total number of times the coin landed on heads.

The number of times the cube was rolled 6 times and landed on heads is 6.

The total number of times the coin landed on heads is 59.

Therefore, the probability is 6/59 or approximately 0.102.