Question

Malik wants to find the probability that he and his friend Alyssa will have P.E. as their first elective for the next school year. There are six electives to choose from this school year.

Malik designs a simulation where he flips two coins to determine whether he and Alyssa will have PE as their first elective. If the coins land "heads," they will have P.E. first. If the coins land "tails," they will have a different elective first. Malik flips the coins 15 times to calculate the probability they will both have P.E. as their first elective.

A better simulation is to change the simulation method to [spinning a spinner with 6 equal sections; just flipping one coin twice; spinning a spinner with 4 equal sections; drawing a card from a deck of 52 cards]

Malik should change 15 trials to [75, 30, 10, 50, 5] trials. This will provide results that are closer to the theoretical probability.

Using the new simulation criteria, Malik should expect the probability that he and Alyssa will both have P.E. as their first elective to be about [25%, 16.7%, 2.78%, 6.25%]

Answer 1

spinning a spinner with 6 equal sections

75

2.78%

Explanation:

A better simulation is to change the simulation method to [spinning a spinner with 6 equal sections. This is because there are 6 electives so each one has an equal chance of being their first class.

The larger the number of trials the closer we become to the theoretical probability. Malik should change 15 trials to 75 trials

The probability that they have PE is 1/6 since there are 6 electives

I assume that they do not have to be in the same class

The probability for Mailk having PE is 1/6 and the probability for Alyssa is 1/6

To get the probability that they will both have PE first is

1/6 * 1/6 = 1/36

.02777777

2.78%