Question

At summer camp, 60 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 26 Hiking 34 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 34 over 60. The theoretical probability of swimming, P(swimming), is 26 over 34, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is 26 over 60, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 26 over 60.

Answer 1

it is d

Step-by-step explanation:

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Answer 2

The theoretical probability of swimming is one half, but the experimental probability is 17 over 30.

Step-by-step explanation:

The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 34 over 60.

Theoretical probability:

The probability of an outcome in a theoretical sense is based on the number of favorable outcomes divided by the total number of possible outcomes. In this case, there are 60 students and 26 of them got heads (representing swimming). So the theoretical probability of swimming is 26/60, which simplifies to 13/30.

Experimental probability:

The experimental probability is based on the actual outcomes of the experiment. In this case, out of the 60 students, 34 of them got tails (representing hiking). So the experimental probability of swimming is 34/60, which simplifies to 17/30.

Comparing the theoretical probability of swimming (13/30) to the experimental probability (17/30), we can see that the experimental probability is greater than the theoretical probability.

Therefore, the correct statement is: The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 17 over 30.