Finding the odds in favor of and odds against each event given the probability

Question

Find the odds in favor of and against each event given the probability P(B)=1/9

Answer 1

Curtis,

odds in favor = Number of favorable outcomes

Number of unfavorable outcomes

odds against = Number of favorable outcomes

Number of unfavorable outcomes

P(B)=1/9 means that 1 out of 9 was favorable. Therefore favorable = 1, unfavorable=9-1=8, total = 9

Therefore odds in favor =1/8 and odds against=8/1 = 8

Answer 2

1 to 8 in favor

8 to 1 against