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 inheads?

72.73% probability of selecting a girl, given the flip resulted inheads

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

Total outcomes:

16+6 = 22, that is, 22 students, so

Probability:

72.73% probability of selecting a girl, given the flip resulted inheads