Convert the odds that the given event will occur to the probability that the event will occur.
-The odds in favor of winning a particular lottery are 1 to $2,300,000$.
A) $\frac{1}{2,300,001}$
B) $\frac{2,300,000}{2,300,001}$
C) $\frac{1}{2,299,999}$
D) $\frac{1}{2,300,000}$

Question

Quizplus · Accepted Answer

The odds of 1 to 2,300,000 mean there is 1 favorable outcome and 2,300,000 unfavorable outcomes. The total number of outcomes is 1 + 2,300,000 = 2,300,001. The probability is the number of favorable outcomes divided by the total number of outcomes, which is $\frac{1}{2,300,001}$.

Convert the Odds That the Given Event Will Occur to the Probability