The weather forecaster in Treeville incorrectly predicts the weather 15% of the time. What is the probability that the forecaster correctly forecasts the weather the next three days in a row?

0.414

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0.514

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0.614

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Solution

The correct option is C $0.614$
The probability that the forecaster correctly forecasts the weather is $1 - 0.15 = 0.85$
The probability that the forecaster correctly forecasts the weather the next three days is equal to $0.85 \times 0.85 \times 0.85 = 0.614$
Therefore correct option is $D$

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The weather forecaster in Treeville incorrectly predicts the weather 15% of the time. What is the probability that the forecaster correctly forecasts the weather the next three days in a row?

The correct option is C 0.614The probability that the forecaster correctly forecasts the weather is 1−0.15=0.85The probability that the forecaster correctly forecasts the weather the next three days is equal to 0.85×0.85×0.85=0.614Therefore correct option is D

The correct option is C $0.614$
The probability that the forecaster correctly forecasts the weather is $1 - 0.15 = 0.85$
The probability that the forecaster correctly forecasts the weather the next three days is equal to $0.85 \times 0.85 \times 0.85 = 0.614$
Therefore correct option is $D$