65. Solve below: A.) Three horses, call them A, B, and C, are going to race agai

Question

65. Solve below:

A.)

Three horses, call them A, B, and C, are going to race against each other. The probability that A will win the race is 14 and the probability that B will win the race is 15. What is the probability that C will win the race?

a) 0.8000

b) 0.5500

c) 0.0500

d) 0.4500

e) 0.7500

f) None of the above.

B.)

Four students are running for class president: Liz, Sam, Sue, and Tom. The probabilities of Sam, Sue, and Tom winning are 725 , 310 and 21100 , respectively. What is the probability of Liz winning?

a) 0.79

b) 0.21

c) 0.42

d) 0.81

e) 0.63

f) None of the above.

Explanation / Answer

A) The sum of probabilities should be 1.

Hence,

P(A) + P(B) + P(C) = 1

(1/4) + (1/5) + P(C) = 1

0.25 + 0.2 + P(C) = 1

0.45 + P(C) = 1

P(C) = 1 - 0.45

P(C) = 0.55

Option B is correct.

B) P(Liz) + P(Sam) + P(Sue) + P(Tom) = 1

P(Liz) + (7/25) + (3/10) + (21/100) = 1

P(Liz) + 0.28 + 0.30 + 0.21 = 1

P(Liz) + 0.79 = 1

P(Liz) = 1 - 0.79

P(Liz) = 0.21

Option B is correct.

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

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