Question

A six-sided number cube is rolled 30 times and lands on 3 ten times and 5 eight times. Calculate the experimental probability of landing on a 3. Write the answer in the SIMPLEST form of a fraction.(1 point) P(3) =

Answer 1

[AI-generated answer — Bot GPT 3.5]

The experimental probability of landing on a 3 is calculated by taking the number of times the cube lands on a 3 and dividing it by the total number of rolls.

P(3) = Number of times cube lands on a 3 / Total number of rolls
P(3) = 10 / 30
P(3) = 1 / 3

Therefore, the experimental probability of landing on a 3 is 1/3.

Answer 2

A spinner has 8 equally sized sections labeled as A, B, C, D, E, F, G, H. In 160 spins, how many times can you expect the spinner to land on a consonant?(1 point) The spinner is expected to land on a consonant times.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To calculate the expected number of times the spinner will land on a consonant, we need to determine how many consonants are on the spinner. The consonants in this case are B, C, D, F, G, and H, which are a total of 6 out of 8 sections.

The probability of landing on a consonant is:

P(consonant) = Number of consonants / Total number of sections
P(consonant) = 6 / 8
P(consonant) = 3 / 4

To find the expected number of times the spinner will land on a consonant in 160 spins, we multiply the probability of landing on a consonant by the total number of spins:

Expected number of times = Probability of landing on a consonant x Total number of spins
Expected number of times = (3 / 4) x 160
Expected number of times = 120

Therefore, you can expect the spinner to land on a consonant 120 times in 160 spins.