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mackenziepaige6525
15.07.2020 •
Mathematics
The venn diagram shows event a and event b comprised of outcomes from the same sample space. The probability of event A is given, as well as the probability of neither event A nor event B. What is the probability of event B?
A. 0.2
B. 0.4
C. 0.5
D. 0.6
E. 0.8
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Ответ:
Correct option: D. 0.6
Step-by-step explanation:
The Venn diagram shows that there is no intersection between events A and B, so we have that:
P(A and B) = 0
Therefore the probability of A or B is:
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = P(A) + P(B)
So, If the sum of the probabilities needs to be 1, we have that:
Total = P(A or B) + P(neither)
Total = P(A) + P(B) + P(neither)
1 = 0.2 + P(B) + 0.2
P(B) = 1 - 0.2 - 0.2 = 0.6
So the correct option is D.
Ответ:
Step-by-step explanation: