what is the probability it will be windy or rainy or both tomorrow?

Question

suppose that the probability that tomorrow will be a rainy day is 0.38 and the probability of it being windy tomorrow is 0.31. also the probability that it will be rain and be windy tomorrow is 0.09

what is the probability it will be windy or rainy or both tomorrow?

Answer 1

Attack the problem this way. Using a Venn diagram, you will have to intersecting circles..One for Rain, one for Windy, and the intersect that denotes both rainy and windy.

From probability theory we know that the union of two events is computed using the following expression:

P(R or W) = P(Rain) + P(Wind) - P(Rain * Wind)

* means "and"

From your data:

P(Rain) = 0.38
P(Windy) = 0.31
P(Rain*Windy) = 0.009

Substituting:

P(Rain or Wind or Both) = 0.38 + 0.31 - 0.09 = 0.60 or 60%

Good Luck.

Answer 2

The probability :
1 - (1-0.38)*(1-0.31)*(1-0.09)
1 - 0.62*0.69*0.91
1 - 0.389298
0.610702
Thats the probability..

Answer 3

61%

1-(1-0.38)*(1-0.31)*(1-0.09)

Basically, it is 1 minus the probability it won't rain or won't be windy or won't be both.

Answer 4

It depends on where you live at ! You can check the news.or download Weather Bug, I love it and it don`t take you much room on your hard drive!

Good Luck and Be Blessed!
Rev.Susan

Answer 5

0.38 , 0.31 and 0.09 respectively

Answer 6

No chance of either Laguna, CA

Answer 7

There's a 100% chance your teacher will want to see your work. I know I would expect to see it. I'll still answer it, though. It's 6.9234%

Answer 8

100%, unless it snows or sleets in August. But I think you should be concentrating on something more...useful

Answer 9

most likely to rain

Answer 10

50/50 chance! bye