Math  /  Data & Statistics

QuestionQuestion 15 1 pts
Solve the problem.
If you are given odds 9 to 3 in favor of winning a bet, what is the probability of winning the bet? 34\frac{3}{4} 3 14\frac{1}{4} 112\frac{1}{12}

Studdy Solution

STEP 1

1. Odds of 9 to 3 in favor of winning means for every 9 favorable outcomes, there are 3 unfavorable outcomes.
2. Probability is calculated as the ratio of favorable outcomes to the total number of outcomes.

STEP 2

1. Determine the total number of outcomes.
2. Calculate the probability of winning.

STEP 3

Determine the total number of outcomes by adding the number of favorable outcomes to the number of unfavorable outcomes:
9+3=12 9 + 3 = 12

STEP 4

Calculate the probability of winning by dividing the number of favorable outcomes by the total number of outcomes:
912 \frac{9}{12}
Simplify the fraction:
912=34 \frac{9}{12} = \frac{3}{4}
The probability of winning the bet is:
34 \boxed{\frac{3}{4}}

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