over a weekend, lester counted the number of single scoop ice creams ordered at his store. he tracked the…

over a weekend, lester counted the number of single scoop ice creams ordered at his store. he tracked the flavors and the day on which it was ordered.\n| |saturday|sunday|\n|--|--|--|\n|chocolate|2|4|\n|vanilla|4|3|\nwhat is the probability that a randomly selected ice cream was ordered on a saturday given that the ice cream was chocolate?\nsimplify any fractions.

over a weekend, lester counted the number of single scoop ice creams ordered at his store. he tracked the flavors and the day on which it was ordered.\n| |saturday|sunday|\n|--|--|--|\n|chocolate|2|4|\n|vanilla|4|3|\nwhat is the probability that a randomly selected ice cream was ordered on a saturday given that the ice cream was chocolate?\nsimplify any fractions.

Answer

Answer:

$\frac{1}{3}$

Explanation:

Step1: Find total chocolate ice - creams

$2 + 4=6$

Step2: Find chocolate ice - creams ordered on Saturday

$2$

Step3: Calculate the conditional probability

The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In terms of counts, if $A$ is the event of being ordered on Saturday and $B$ is the event of being chocolate, then $P(A|B)=\frac{\text{Number of chocolate ice - creams ordered on Saturday}}{\text{Total number of chocolate ice - creams}}=\frac{2}{6}=\frac{1}{3}$