Question

bryanna performed an experiment in which she flipped a coin and recorded the results. she got heads up 23 times and tails up 27 times. which statements are true about the experimental probability of getting tails up?
□ the experimental probability is written as a ratio.
□ the experimental probability compares the number of heads up to the number of tails up
□ the experimental probability includes 50 trials.
□ the experimental probability compares the number of tails up to the number of trials.
□ the experimental probability compares the number of heads up to the number of trials.

Explanation:

To solve this, we analyze each statement about experimental probability (where Bryanna flipped a coin: heads = 23, tails = 27, total trials = 23 + 27 = 50):

Step 1: Analyze "The experimental probability is written as a ratio."

Experimental probability is defined as \( \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} \), which is a ratio. So this statement is true.

Step 2: Analyze "The experimental probability compares the number of heads up to the number of tails up."

Experimental probability compares favorable outcomes to total trials, not heads to tails. This is false.

Step 3: Analyze "The experimental probability includes 50 trials."

Total trials = 23 (heads) + 27 (tails) = 50. Experimental probability uses total trials, so this is true (since 50 trials are part of the experiment).

Step 4: Analyze "The experimental probability compares the number of tails up to the number of trials."

For tails (favorable outcome), experimental probability is \( \frac{\text{Tails}}{\text{Total trials}} = \frac{27}{50} \). This compares tails to total trials, so this is true.

Step 5: Analyze "The experimental probability compares the number of heads up to the number of trials."

For heads, experimental probability is \( \frac{\text{Heads}}{\text{Total trials}} = \frac{23}{50} \). This compares heads to total trials, so this is true.

Final Answer (True Statements):

• The experimental probability is written as a ratio.
• The experimental probability includes 50 trials.
• The experimental probability compares the number of tails up to the number of trials.
• The experimental probability compares the number of heads up to the number of trials.

(The statement "The experimental probability compares the number of heads up to the number of tails up" is false.)

Answer:

To solve this, we analyze each statement about experimental probability (where Bryanna flipped a coin: heads = 23, tails = 27, total trials = 23 + 27 = 50):

Step 1: Analyze "The experimental probability is written as a ratio."

Experimental probability is defined as \( \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} \), which is a ratio. So this statement is true.

Step 2: Analyze "The experimental probability compares the number of heads up to the number of tails up."

Experimental probability compares favorable outcomes to total trials, not heads to tails. This is false.

Step 3: Analyze "The experimental probability includes 50 trials."

Total trials = 23 (heads) + 27 (tails) = 50. Experimental probability uses total trials, so this is true (since 50 trials are part of the experiment).

Step 4: Analyze "The experimental probability compares the number of tails up to the number of trials."

For tails (favorable outcome), experimental probability is \( \frac{\text{Tails}}{\text{Total trials}} = \frac{27}{50} \). This compares tails to total trials, so this is true.

Step 5: Analyze "The experimental probability compares the number of heads up to the number of trials."

For heads, experimental probability is \( \frac{\text{Heads}}{\text{Total trials}} = \frac{23}{50} \). This compares heads to total trials, so this is true.

Final Answer (True Statements):

• The experimental probability is written as a ratio.
• The experimental probability includes 50 trials.
• The experimental probability compares the number of tails up to the number of trials.
• The experimental probability compares the number of heads up to the number of trials.

(The statement "The experimental probability compares the number of heads up to the number of tails up" is false.)