Question

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 1

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 $D = 16$

Total outcomes:

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

Probability:

$P = \frac{16}{22} = 0.7273$

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