AIR MATH

Math Question

The student calculates the probability that he will get all the questions correc by guessing.
\begin{tabular}{|c|c|c|}
\hline History & To get \( 100 \% \) correct: & P(guess is correct) \\
\hline Sclence & Answer 4 of 4 correctly. & \( 0.5 \) \\
\hline Answer 3 of 3 correctly. & \( 0.2 \) \\
\hline
\end{tabular}
The student will study for the quiz on which he is likely to do worse by guessing. Which quiz should he study for?
A. History, because he must get more questions correct.
B. Science, because the probability of getting all questions correct is \( 0.008 \), which is lower than for history \( (0.063) \).

C. History, because the probability of getting all questions correct is \( 0.063 \), which is lower than for science \( (0.6) \).

D. Science, because the probability of getting all questions correct is \( 0.06 \), which is lower than for history \( (0.2) \).
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