Question

lets say you have a bag with 22 cherries, 10 sweet and 12 sour. if you pick a cherry at random, what is the probability that it will be sweet? write your answer as a reduced fraction.

$p(sweet) = \square$

question help: video message instructor

Explanation:

Step1: Recall the probability formula

The probability formula is \(P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).

Step2: Identify the number of favorable and total outcomes

The number of favorable outcomes (sweet cherries) is \(n = 10\). The total number of outcomes (total cherries) is \(N=22\).

Step3: Calculate the probability

\(P(\text{sweet})=\frac{10}{22}\). Then reduce the fraction. Divide numerator and denominator by 2: \(\frac{10\div2}{22\div2}=\frac{5}{11}\).

Answer:

\(\frac{5}{11}\)