Question

1.

Several people conduct an experiment involving the rolling of a standard 6-sided number cube. Erica rolled her cube 15 times
and rolled a "3" four times. John rolled his cube 25 times and rolled a "3" seven times. Sarah rolled her cube 75 times and
rolled a "3" twelve times. Which person's experimental probability is closest to what the theoretical probability that a person
who rolls a standard number cube rolls a "3" would be?
a. Erica
b. Sarah
C.
There is a tie.
d. John
I

Answer 1

John's experimental probability of rolling a '3' is closest to the theoretical probability of 1/6 on a standard 6-sided die, with his probability being 7/25 or approximately 0.2800.

Step-by-step explanation:

The student has asked which person's experimental probability of rolling a '3' on a standard 6-sided cube is closest to the theoretical probability. To determine this, the theoretical probability (P) of rolling a '3' on a standard 6-sided die is 1/6 because there are six equally likely outcomes and only one of these outcomes is a '3'.

• Erica's experimental probability is 4/15.
• John's experimental probability is 7/25.
• Sarah's experimental probability is 12/75, which simplifies to 4/25.

To compare these to the theoretical probability, we can calculate their decimal forms and compare:

• Erica: 4/15 ≈ 0.2667
• John: 7/25 ≈ 0.2800
• Sarah: 4/25 ≈ 0.1600

The theoretical probability in decimal form is approximately 0.1667. Comparing these values, John's experimental probability is closest to the theoretical probability of 1/6.

Therefore, the answer is d. John.