A couple plans to have four children. The father notes that the samplespace for the number of girls the couple can have is 0, 1, 2, 3, and 4. Hegoes on to say that since there are five outcomes in the sample space, andsince each child is eaually iikely to be a boy or girl, all five outcomes mustbe equally ieiy. Therefore, the probability of all four children being girls is1/5. 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.

Given, A couple is planning to have 4 children. The father says all outcomes for the number of girls…

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.

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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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