Questions: If you are given odds of 2 to 3 in favor of winning a bet, what is the probability of winning the bet? The probability is . (Type an integer or a simplified fraction.)

$If you are given odds of 2 to 3 in favor of winning a bet, what is the probability of winning the bet? The probability is . (Type an integer or a simplified fraction.)$

Transcript text: If you are given odds of 2 to 3 in favor of winning a bet, what is the probability of winning the bet? The probability is $\square$ $\square$. (Type an integer or a simplified fraction.)

Solution

Solution Steps

Step 1: Understand the given odds

The odds of 2 to 3 in favor of winning a bet mean that for every 2 favorable outcomes, there are 3 unfavorable outcomes.

Step 2: Calculate the total number of possible outcomes

The total number of possible outcomes is the sum of favorable and unfavorable outcomes: \[ \text{Total outcomes} = 2 + 3 = 5 \]

Step 3: Determine the probability of winning

The probability of winning is the ratio of favorable outcomes to the total number of outcomes: \[ \text{Probability of winning} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{2}{5} \]

Final Answer

$\boxed{\frac{2}{5}}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!