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? choose three correct answers. the experimental probability includes 50 trials. the experimental probability is written as a ratio. 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 experimental probability compares the number of heads up to the number of tails up.

Explanation:

Step1: Calculate the total number of trials

The total number of trials is the sum of the number of heads and tails. So, \(23 + 27=50\) trials.

Step2: Recall the formula for experimental probability

The formula for experimental probability \(P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}\). For tails, the number of favorable outcomes is \(27\) (number of tails) and total number of trials is \(50\). Experimental probability is a ratio.

Step3: Analyze each statement

• Statement 1: The total number of trials \(n = 23+27 = 50\). So, the experimental probability includes \(50\) trials. This is True.
• Statement 2: Experimental probability \(P=\frac{\text{Number of tails}}{\text{Total number of trials}}\), which is a ratio. This is True.
• Statement 3: \(P(\text{tails})=\frac{\text{Number of tails}}{\text{Total number of trials}}\). So, the experimental probability compares the number of tails up to the number of trials. This is True.
• Statement 4: We are calculating the experimental probability of getting tails. So, comparing heads to trials is not relevant for this probability. This is False.
• Statement 5: Experimental probability of tails compares tails to trials, not heads to tails. This is False.

Answer:

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