A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ely. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. O The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.

MATLAB: An Introduction with Applications
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A couple plans to have four children. The father notes that the sample
space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He
goes on to say that since there are five outcomes in the sample space, and
since each child is eaually iikely to be a boy or girl, all five outcomes must
be equally ieiy. Therefore, the probability of all four children being girls is
1/5. Explain the flaw in his reasoning.
The argument is only correct if each child is equally likely to be a boy or girl.
O The outcomes are not equally likely.
O The sample space has less than 5 possible outcomes.
O The sample space has more than 5 possible outcomes.
Transcribed Image Text:A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ieiy. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.
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