The weather forecast calls for a
70
70% chance that it rains on Friday,
50
50% chance that it rains on Saturday and
40
40% chance that it rains on Sunday. Assume that the weather is independent of each other.
What is the probability that it rains all 3 days? Round your answer to the nearest tenth of a percent.
To find the probability that it rains all 3 days, we need to multiply the probabilities of each day.
The probability of rain on Friday is 70% or 0.70.
The probability of rain on Saturday is 50% or 0.50.
The probability of rain on Sunday is 40% or 0.40.
Therefore, the probability that it rains all 3 days is 0.70 * 0.50 * 0.40 = 0.14 (rounded to two decimal places).
To convert this to a percentage, we multiply by 100, giving us 14%.
Therefore, the probability that it rains all 3 days is 14%.