What is the probability that both a couple's first two children will be boys?

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Enhance your understanding of the EC-6 (391) Mathematics with comprehensive flashcards and multiple choice questions. Gain insights with detailed hints and explanations for a successful exam preparation!

Multiple Choice

What is the probability that both a couple's first two children will be boys?

Explanation:
This question tests how probabilities add up when events are independent. Each birth has a 50% chance of being a boy, and the two births are independent. So the chance of the first being a boy and the second being a boy is 1/2 × 1/2 = 1/4. You can also picture the four equally likely outcomes for the first two children: BB, BG, GB, GG; only one of these is both boys, which is 1/4.

This question tests how probabilities add up when events are independent. Each birth has a 50% chance of being a boy, and the two births are independent. So the chance of the first being a boy and the second being a boy is 1/2 × 1/2 = 1/4. You can also picture the four equally likely outcomes for the first two children: BB, BG, GB, GG; only one of these is both boys, which is 1/4.

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