There is a 25% chance of snow tonight and 50% chance of snow tomorrow. I think t

Question

There is a 25% chance of snow tonight and 50% chance of snow tomorrow. I think that there is a 75% chance of error In the cartoon above, assume that the events are independent. Using proper netiquette, post the answers to the following questions in this discussion forum: What is the probability of snow both times? o What is the probability that it will not snow either of the times? o What is the probability that it will snow exactly one of the times? o What is the probability that it will snow at least one of the times? o In real life, do you think that the events of snow tonight and snow tomorrow are independent events? Why or why not? Attempt to convince others in the class of your stance by replying to their posts.

Explanation / Answer

Given that 25% chance of snow tonight and 50% chance of snow tomorrow

Probabilty of snow tonight = 0.25

Probabilty of snow tomorrow = 0.5

a)

Probability of snow both times = 0.25*0.5 = 0.125

b)

probability that it will not snow either of the times = (1-Probabilty of snow tonight)(1-Probabilty of snow tomorrow)

= (1-0.25)(1-0.5) = 0.75*0.5 = 0.375

c)

probability that it will snow exactly one of the times

= (1-Probabilty of snow tonight)*Probabilty of snow tomorrow +  Probabilty of snow tonight*(1-Probabilty of snow tomorrow)

= (1-0.25)*0.5 + 0.25*(1-0.5) =

d)

probabilty that it will snow at least one of the times = 1 - probability that it will not snow either of the times

= 1 - 0.375 = 0.625

e)

snowing tonigth and snowing and snowing tomorrow are independent because probability of occurence on one event is not dependent on each other

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