Chapter 13.6, Problem 27PPS

a.

To determine

To determine the probability of given event.

Answer to Problem 27PPS

Probability is $\frac{189}{265}$ or 71.3%

Explanation of Solution

Given information :

  

P(country or R&B) = P(country) + P(R&B) − P(country and R&B)

P(country or R&B) $=\frac{88}{265}+\frac{118}{265}-\frac{17}{265}=\frac{189}{265}$ or 71.3%

b.

To determine

To determine the probability of given event.

Answer to Problem 27PPS

Probability is $\frac{242}{265}$ or 91.3%

Explanation of Solution

Given information :

  

P(rock and country or R&B and rock) $=\frac{18}{265}+\frac{118}{265}+\frac{106}{265}=\frac{242}{265}$ or 91.3%

c.

To determine

To determine the probability of given event.

Answer to Problem 27PPS

Probability is $\frac{96}{265}$ or 36.2%

Explanation of Solution

Given information :

  

P( R&B but not rock) $=\frac{96}{265}$ or 36.2%

(Favorable outcomes are 118-22=96)

d.

To determine

To determine the probability of given event.

Answer to Problem 27PPS

Probability is $\frac{10}{265}$ or 3.8%

Explanation of Solution

Given information :

  

P( all three) $=\frac{10}{265}$ or 3.8%

(Favorable outcomes are common area of all three)