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the odds that it will snow tomorrow are 9 to 4. what is the probability that it will not snow tomorrow? a) 0.4444 b) 0.3077 c) 0.1111 d) 0.3333 e) 0.6923 f) none of the above.

Respuesta :

The probability that it will not snow tomorrow is Option(b) 0.3077.

We will calculate the odds of an event using the formula:

odd of an event E = P(E)/P(È) = P(E)/1 - P(E) ..... (1)

Let P(E) represents the probability that it will snow tomorrow.

Let event E represents the event that " it will snow tomorrow "

So, the odds of the event that it will snow tomorrow

P(E)/P(E) = 9/4

P(E)/1-P(E) ....(2)

On solving eq(2), we get,

P(E) = 9/13

So the probability that it will snow tomorrow is 9/13

Hence the probability that it will not snow tomorrow

P(È) = 1 - 9/13

= 4/13

= 0.3077

Probability that it will not snow tomorrow = 0.3.077

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