the weather channel predicts the chance of rain on friday to be 28%, on saturday to be 62%, and on sunday to be 49%. what is the probability of a rain-free weekend? math problem

Respuesta :

The probability of a rain-free weekend is 0.6962

The probability =  Number of favorable outcomes / Total number of outcomes

The probability of rain on Saturday = 62/100

= 31/50

The probability of rain on Sunday = 49 /100

The probability of rain on Saturday and Sunday = The probability of rain on Saturday × The probability of rain on Sunday

= (31/50) × (49/100)

= 0.3038

The probability of rain free weekend = 1 - The probability of rain on Saturday and Sunday

Substitute the values in the equation

The probability of rain free weekend = 1 - 0.3038

= 0.6962

Hence, the probability of a rain-free weekend is 0.6962

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