Question

1)what are the odds for an event to occur if the odds against are

a. 8 to 6 b. 5 to 2 c. 1 to1 d. 4 to 3

2) what are the odds against an event occurring if the probability is

a.5/9 b. 3/5 c. 2/7 d. 3/8

3. determine the probability that an event will occur if

a. the (odds for) are 5 to 9

b. the (odds for) are 4 to 8

c. the (odds against) are 2 to 1

d. the (odds for) are 7 to 5

Answer 1

1) a. Odds against is 8 to 6

Odds for will be 6 to 8

b. Odds against is 5 to 2

Odds for will be 2 to 5

c. Odds against is 1 to 1

Odds for will be 1 : 1

d. Odds against is 4 to 3

Odds for will be 3 to 4

2) a. Probability = 5/9

Odds against the event = (9-5) to 5

= 4 to 5

b. Probability = 3/5

Odds against the event = (5-3) to 3

= 2 to 3

c. Probability = 2/7

Odds against the event = (7-2) to 2

= 5 to 2

d. Probability = 3/8

Odds against the event = (8-3) to 3

= 5 to 3

3) a. Odds for = 5 to 9

Probability = 5/(5+9)

= 5/14

b. Odds for = 4 to 8

Probability = 4/(4+8)

= 1/3

c. Odds against = 2 to 1

Probability = 1/(1+2)

= 1/3

d. Odds for = 7 to 5

Probability = 7/(7+5)

= 7/12