Question

1. A free throw shooter has a probability of success equal to 0.6

a) Find the odds in favor of the free throw shooter succeeding on the next attempt. Show all steps.

b) FInd the odds against the free throw shooter succeeding on the next attempt. Show all steps.

2. The odds in favor of a horse winning the next race is 9:3.

a) Find the probability of the horse winning the next race. State yout answer as an exact fraction in lowest terms, and as a decimal rounded to four places. Show all steps.

b) Find the probability of the horse losing the next race. State your answer as an exact fraction in lowest terms, and as a decimal rounded to four decimal places. Show all steps.

Answer 1

Question 1

(a) Here the probability of success = 0.6

probability of failure = 1 - 0.6 = 0.4

Here odds in favour of the free throw shooter succeeding on the next attempt are 0.6 : 0.4 that will be 6 : 4 or 3: 2

(b) Here the odds against the free shooter succeeding on the next attempt would be 4 :6 or 2 :3.

Question 2

Here odds in favour of horse winning the next race is 9:3

(a) Probability of winning the next race = 9/(9 + 3) = 9/12 = 0.75

(b) Probability of horse losing the next race = 3/(9 + 3) = 3/12 = 0.25