Ben has 9 packs of balloons. He has 54 balloons in all. How many balloons are in
1 answer:
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Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
Since are in arithmetic progression,
and since are in geometric progression,
Recall that
It follows that
so the left side is
Also recall that
so that the right side is
Solve for .
Now, the numerator increases more slowly than the denominator, since
and for ,
This means we only need to check if the claim is true for any .
doesn't work, since that makes
.
If , then
If , then
If , then
There is only one value for which the claim is true, .