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A family has 2 children. What is the probability that both children are boys?
A family has 2 children. What is the probability that both children are boys?
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Practice Questions
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Q1
A family has 2 children. What is the probability that both children are boys?
1/4
1/2
1/3
1/5
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The possible combinations of children are BB, BG, GB, GG. Out of these, only 1 combination is both boys (BB). Thus, the probability is 1/4.
Questions & Step-by-step Solutions
1 item
Q
Q: A family has 2 children. What is the probability that both children are boys?
Solution:
The possible combinations of children are BB, BG, GB, GG. Out of these, only 1 combination is both boys (BB). Thus, the probability is 1/4.
Steps: 7
Show Steps
Step 1: Understand that there are 2 children in the family.
Step 2: Recognize that each child can either be a boy (B) or a girl (G).
Step 3: List all possible combinations of the two children: BB (both boys), BG (boy and girl), GB (girl and boy), GG (both girls).
Step 4: Count the total number of combinations. There are 4 combinations: BB, BG, GB, GG.
Step 5: Identify how many of these combinations have both children as boys. There is only 1 combination: BB.
Step 6: Calculate the probability by dividing the number of favorable outcomes (1) by the total number of outcomes (4).
Step 7: The probability that both children are boys is 1/4.
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