2 Answers

Thomas Maas · Answer 1 · 2020-05-10T12:21:04+0000

Answer: the answer is B, or P(B|C)=9/24=0.38

Explanation:

If you look at the table, you can see that 9 is where BC is. So, 9 is the numerator. The denominator is 24 because that is the total number.

Also, I got this answer correct on Edge

Lorenzo Ang · Answer 2 · 2020-05-14T03:10:27+0000

Answer:
P(B|C)=(9)/(24)=0.38

Explanation:

The formula for conditional probability :-

$P(M|N)=(P(M\cap N))/(P(N))$

From the given table it can be seen that ,

Total = 70

n(C)=24

Then , the probability of having B:-

$\text{P(C)}=\frac{\text{n(C)}}{\text{Total}}\\\\=(24)/(70)$

Also,
$n(B\cap C)=9$

Then , the probability of having the intersection of B and C :-

$P(B\cap C)=\frac{n(B\cap C)}{\text{Total}}\\\\=(9)/(70)$

Then , by the formula of conditional probability , we have :-

$P(B|C)=(P(B\cap C))/(P(C))\\\\=((9)/(70))/((24)/(70))\\\\=(9)/(24)=(3)/(8)=0.375\approx0.38$

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