Problem

Giving a test to a group of students, the grades and gender are summarized below
\begin{tabular}{|r|r|r|r|r|}
\hline & A & B & C & Total \\
\hline Male & 14 & 13 & 3 & 30 \\
\hline Female & 20 & 8 & 10 & 38 \\
\hline Total & 34 & 21 & 13 & 68 \\
\hline
\end{tabular}
If one student is chosen at random,
Find the probability that the student got a B:
Find the probability that the student was female AND got a " $\mathrm{C}$ ":
Find the probability that the student was male OR got an "A":
If one student is chosen at random, find the probability that the student got a 'C' GIVEN they are male:
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Answer

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Answer

\(\boxed{0.3088}\) is the final answer.

Steps

Step 1 :Given that the total number of students is 68 and the number of students who got a B is 21.

Step 2 :The probability of a student getting a B is calculated by dividing the number of students who got a B by the total number of students.

Step 3 :Substituting the given values, we get \(\frac{21}{68} = 0.3088235294117647\).

Step 4 :Rounding off to four decimal places, we get 0.3088.

Step 5 :\(\boxed{0.3088}\) is the final answer.

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