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.

1 answer

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%.
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