The probability that Shania is on time for school is 1/2. Find the probability that Shania arrives on time for school for the next 5 days. Express your answer as a percent, to the nearest tenth of a percent.

A. 50%
B. 15.6%
C. 11.4%
D. 3.1%
ALSO, PLEASE EXPLAIN THOROUGHLY!!
THANKS YOU SO MUCH FOR HELPING ME!! :D

1/2 x 1/2 x 1/2 x 1/2 x 1/2 =_____

Not 1/2 x 5

To find the probability that Shania arrives on time for the next 5 days, we need to calculate the probability for each day and then multiply them together.

Given that the probability she is on time for each day is 1/2, we can use the multiplication rule for independent events. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

So, for Shania to be on time for the next 5 days, we multiply the individual probabilities together:

P(On time for 5 days) = P(On time on Day 1) x P(On time on Day 2) x P(On time on Day 3) x P(On time on Day 4) x P(On time on Day 5)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/2^5

= 1/32

To express this as a percentage, we can divide 1/32 by 1 and multiply by 100 to get the percentage:

(1/32) x 100 ≈ 3.1

Therefore, the probability that Shania arrives on time for school for the next 5 days, expressed as a percentage to the nearest tenth of a percent, is approximately 3.1%.

Answer: D. 3.1%