Suppose that A and B are 2 mutually exclusive events. For 2 trials, the sample s

Question

Suppose that A and B are 2 mutually exclusive events. For 2 trials, the sample space is {AA, AB, BA, BB}. If A and B are equally likely, P(at least 1 A) = 3/4. The sample spaces of the following problems are all different.

A friend has 2 children. What is the sample space of outcomes with B=Boy and G=Girl? What is the probability that both are girls (GG)?

A friend has 2 children and at least 1 of them is a girl. What is the sample space? What is the probability that the other one is a girl?

Your friend has 2 children. One is a girl named Florida (F). What is the probability that the other child is a girl (G)?

Explanation / Answer

Sample space for two children
{BB, BG, GB, GG}

There is only one possible outcome with both girls
Hence probability that both are girls is 1/4

Sample space is at least one of them is girl {BG, GB, GG}
probability = 3/4

Probability of girl is boy is independent. Hence probability that the other is also girl is 1/2.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.