GIVEN: There is a $60\%$ chance of rain on Saturday and a $20\%$ chance of rain on Sunday. Assume that the event that it rains on Saturday is independent of the event that it rains on Sunday.

TO FIND: What is the probability that it rains on exactly one day over the weekend.

SOLUTION:

Probability of rain on Saturday $P(A)=0.6$

Probability of not raining on Saturday $P(A^{'}) =1-0.6=0.4$

Probability of rain on Sunday $P(B)=0.2$

Probability of not raining on Saturday $P(B^{'})=1-0.2=0.8$

Probability of raining exactly one day over the weekend

$=\text{Probability it rains only on Saturday}+\text{Probability it rains only on Sunday}$

$=P(A)\times P(B^{'})+P(B)\times P(A^{'})$

$=0.6\times0.8+0.2\times0.4$

$=0.56$

Hence probability of raining exactly only one day over the weekend is $0.56$

5 0

4 years ago

How the balls did .7511030598245 become 49 DEGREES??

ycow [4]

Is your calculator in radian mode??? Check that first.

3 0

4 years ago