Question

On a six-day vacation, the forecast is a 30% chance of rain every day. What’s the probability that it rains every day? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answer 1

The probability that it rains everyday is 0.000729

Forecast for rain = 30%

Since it's a 6 days vacation, the probability that it rains every day will be:

= 30% × 30% × 30% × 30% × 30% × 30%

= 0.3 × 0.3 × 0.3 × 0.3 × 0.3 × 0.3

= 0.000729

Therefore, the probability is 0.000729

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