A fair coin is tossed and a fair six-sided die is rolled simultaneously. What is the probability of obtaining a Head on the coin and a prime number on the die?
Answer and explanation
Correct answer: C.
- Step 1: Identify probabilities for the two independent events: tossing a coin yields . The prime numbers on a standard six-sided die are , so .
- Step 2: Multiply probabilities for independent events: .
Answer
.
Why not the others: '' is the individual probability of each separate event; '' assumes only one prime number exists; '' adds the probabilities incorrectly.
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