Question

The probability that Mr. X visits a Town Museum is 0.36, and the probability that he takes a ride on the River Cruise is 0.47. The probability that he does both is 0.22. Find the probability that Mr. X visits the Museum or takes the Cruise.

Answer 1

Answer:

answer is 0.22 hope it helps............

Answer 2

Answer:

The probability that Mr. X visits the museum or takes the cruise is $0.61$.

Step-by-step explanation:

Given that :

The probability that Mr. X visits the town museum is $0.36$

The probability that Mr. X rides on the river cruise is $0.47$

The probability that Mr. X does both is $0.22$

Now, we know that the formula for P(A∪B) $=$ P(A) $+$ P(B) $-$ P(A∩B)

Here, P(A) $=0.36$

P(B)$=0.47$

P(A∩B) $=0.22$

P(A∪B) $=0.36+0.47-0.22$

$=0.61$

Hence, the probability that Mr. X visits the museum or takes the cruise is $0.61$.

• The symbol "∪" (union) denotes 'or'. P(A∪B) is the probability of the event A or B occurring.
• To calculate P(A∪B), we must count the sample points that appear in both A and B.
• So, is P(A∪B) equal to P(A) + P(B)? No, because the sample points from A and B are counted twice when the sample points from A and B are counted.
• To get P(A∪B), we need to remove P(A∩B) from the above amount.