Question

tomorrow's weather forecast calls for 50% chance of snow a 60% that the temperature will be below 32 degrees Fahrenheit and 20% chance of both what is the probability of snow given that the temperature is below 32 degrees A 33.3%B 40%C 53.3%D 83.3%

Answer 1

Conditional probability

Prob A given that B = Probabilty of A and B divided by Probabilty of B

So, from problem:

Event A = prob of snow

Event B = temp below 32

So, now it stands at:

Prob snow given that temp below 32 = Probabilty of snow and temp below 32 DIVIDED by Probabilty of temp below 32

From the problem:

Prob temp below 32 = 60% = 0.6

Prob of snow and temp below 32 = 20% = 0.2

Plugging in, we get our answer:

Prob of snow given temp below 32 degrees = 0.2/0.6 = 0.3333

0.33 * 100 = 33.3%

Answer is A