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Bethany0323
14.09.2019 •
Mathematics
If a and b are events with p(a) = 0.5, p(a or b) = 0.65, p(a and b) = 0.15, find p(b).
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Ответ:
P(B) = 0.30
Step-by-step explanation:
This is a probability problem that can be modeled by a diagram of Venn.
We have the following probabilities:
In which
is the probability that only A happens.
To find P(B), first we have to find
, that is the probability that only B happens.
Finding
:
The problem states that P(A OR B) = 0.65. This is the probability that at least one of this events happening. Mathematically, it means that:
The problem states that P(A) = 0.5 and
. So we can find
.
Replacing it in equation 1)
Since
Ответ: