Question

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Consider the two-way table below.
Find P(BIC).

Answer 1

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

Step-by-step 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

Answer 2

Answer: $P(B|C)=\dfrac{9}{24}=0.38$

Step-by-step explanation:

The formula for conditional probability :-

$P(M|N)=\dfrac{P(M\cap N)}{P(N)}$

From the given table it can be seen that ,

Total = 70

$n(C)=24$

Then , the probability of having B:-

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

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

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

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

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

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