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

The theoretical probability of swimming, P(swimming), is 26 over 60, but the experimental probability is one half.

Step-by-step explanation:

How to calculate the probability

The ratio between the number of favorable events and the total number of conceivable outcomes is known as the theoretical probability.

The experimental probability can be calculated mathematically using the following formula: Probability of an Event P(E) = Number of Times an Event Occurs / Total Number of Trials.

The experimental probability will be:

= Frequency for swimming / Total frequency

= 26 / 60