Please help I’ve tried and can not figure it out

let the probability of Aron going on Saturday be A

A

= {Aaron goes to the gym on Monday},

and the probability of him going on a Sunday be B

B

= {Aaron goes to the gym on Sunday}.

In your post, we have the following pieces of information:

P(A)=0.8

P(A)=0.8

,

P(B∣A)=0.3

P(B∣A)=0.3

,

P(B∣A)=0.9

P(B∣A¯)=0.9

.

What you are looking for is the probability that he goes only once (either on Saturday or Sunday). That is the probability of the event

(A∩B¯)∪(A¯∩B)

(A∩B¯)∪(A¯∩B)

. [(A∩B¯)(A∩B¯)

: if he goes on Saturday he won't go on Sunday

A¯∩B

A¯∩B

: if he did not go on Saturday, he will go on Sunday].

We have:

P

((A ∩B)∪(A∩B))

=

P(A∩B)+

P(A∩B)

=

P(B∣A)

P(A)+

P(B∣A)

P(A)

=

(1−P(B∣A))

P(A)

+

P(B∣A)

(1−P(A))

=(1−0.3)×0.8+0.9×0.2

The prob of Aaron going to the gym on exactly one of the two days is =0.74.

P((A∩B¯)∪(A¯∩B))=P(A∩B¯)+P(A¯∩B)=P(B¯)

is there a picture

step-by-step explanation:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.