Suppose you know that over the last 10 years, the probability that your town would have at least one major storm was 40%. Describe a simulation that you could use to find the experimental probability that your town will have at least one major storm in at least 3 of the next 5 years.

Meteorologist

A meteorologist predicts a 20% chance of rain for the next two nights, and a 75% chance of rain on the third night.

a. On which night is it most likely to rain? On that night, is it likely to rain or unlikely to rain?

b. Tara would like to go camping for the next 3 nights, but will not go if it is likely to rain on all 3 nights. Should she go? Use probability to justify your answer.

Sinead tossed 4 coins at the same time. She did this 50 times, and 6 of those times, all 4 coins showed the same result (heads or tails).

a. Find the experimental probability that all 4 coins show the same result when tossed.

b. Can you determine the experimental probability that no coin shows heads? Explain.

c. Suppose Sinead tosses the coins 125 more times. Use experimental probability to predict the number of times that all 4 coins will show heads or tails. Show your work.