Flipping a fair coin 8 times yields 5 heads. What is the experimental probability of heads?

Prepare for the Praxis Elementary Education Mathematics Test. Engage with flashcards and multiple choice questions, each with hints and explanations. Enhance your chances for exam success!

Multiple Choice

Flipping a fair coin 8 times yields 5 heads. What is the experimental probability of heads?

Experimental probability uses the observed frequency of outcomes from a specific set of trials. Here, you flipped a fair coin 8 times and saw 5 heads. The proportion of heads in this run is 5 out of 8, so the experimental probability of heads is 5/8. This reflects what happened in this particular experiment, not the long-run chance per flip. For contrast, the theoretical probability of heads on a single fair flip is 1/2, which is why that option isn’t the experimental result here. The other numbers would correspond to different counts of heads (3 heads out of 8, which is 3/8; or unrelated proportions like 2/3). So the best answer is the observed 5/8.

Experimental probability uses the observed frequency of outcomes from a specific set of trials. Here, you flipped a fair coin 8 times and saw 5 heads. The proportion of heads in this run is 5 out of 8, so the experimental probability of heads is 5/8. This reflects what happened in this particular experiment, not the long-run chance per flip.

For contrast, the theoretical probability of heads on a single fair flip is 1/2, which is why that option isn’t the experimental result here. The other numbers would correspond to different counts of heads (3 heads out of 8, which is 3/8; or unrelated proportions like 2/3). So the best answer is the observed 5/8.

More practice questions