Two dice are tossed What is the probability tha... - JAMB Mathematics 2023 Question
Two dice are tossed. What is the probability that the total score is a prime number.
\(\frac{5}{12}\)
\(\frac{5}{9}\)
\(\frac{1}{6}\)
\(\frac{1}{3}\)
Let's find the combinations that result in a prime number when two dice are tossed. There are 6 faces on each die, so there are \(6 \times 6 = 36\) possible outcomes.
Prime numbers less than or equal to 12 are: 2, 3, 5, 7, 11.
Now, let's count the combinations that give each prime number:
- For 2: (1, 1)
- For 3: (1, 2), (2, 1)
- For 5: (1, 4), (2, 3), (3, 2), (4, 1)
- For 7: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
- For 11: (5, 6), (6, 5)
There are 15 combinations that result in a prime number.
Therefore, the probability of getting a prime number is \(\frac{15}{36}\), which simplifies to \(\frac{5}{12}\).
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