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An unfair coin with​ Pr[H] = 0.75 is flipped. If the flip results in a​ head, a student is selected at random from a class of six boys and sixteen girls.​ Otherwise, a student from a different class containing five boys and six girls is selected. What is the probability of selecting a​ girl, given the flip resulted in​heads?

Answer :

Answer:

72.73% probability of selecting a​ girl, given the flip resulted in​heads

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Coin resulted in heads

Student is selected at random from a class of six boys and sixteen girls.​

Desired outcomes:

16 girls, so [tex]D = 16[/tex]

Total outcomes:

16+6 = 22, that is, 22 students, so [tex]T = 22[/tex]

Probability:

[tex]P = \frac{16}{22} = 0.7273[/tex]

72.73% probability of selecting a​ girl, given the flip resulted in​heads

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