Question

Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looked at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.

The ratio of heads to tails in simplified form is
to
.

Answer 1

The number of times the coin landed on heads is 32 - 8 = 24 since there were 32 flips in total and 8 of them resulted in tails.

The ratio of heads outcomes to tails outcomes can be expressed as 24:8. To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which is 8.

So, 24/8 = 3 and 8/8 = 1. Therefore, the ratio of heads outcomes to tails outcomes in simplified form is 3:1.

Answer 2

The total number of flips is 32, and the number of times the coin landed on tails is 8. Therefore, the number of times the coin landed on heads is 32 - 8 = 24.

The ratio of heads outcomes to tails outcomes can be expressed as a fraction by putting the number of heads outcomes over the number of tails outcomes. Therefore, the ratio in simplified form is:

24/8 = 3/1

So the ratio of heads outcomes to tails outcomes in simplified form is 3 to 1.