Discussion
Two dice are tossed simultaneously. Find the probability that the total is a prime number.
Answer: B
Two dice give 36 outcomes. The prime totals are 2, 3, 5, 7 and 11.
- sum 2: 1 way
- sum 3: 2 ways
- sum 5: 4 ways
- sum 7: 6 ways
- sum 11: 2 ways
\[ 1 + 2 + 4 + 6 + 2 = 15 \quad\Longrightarrow\quad P = \frac{15}{36} = \frac{5}{12} \]
9 is not prime (\( 3 \times 3 \)) and neither is 1, which is where miscounts usually creep in.
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