Question

given the table find p(pizza|senior): (remember, read this as \what is the probability of pizza given they are a senior?\)

	burrito	pizza	total
sophomore	6	5	11
junior	12	2	14
senior	5	10	15
total	30	20	50

Explanation:

Step1: Recall conditional - probability formula

The formula for conditional probability is $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the context of the table, $P(\text{Pizza}|\text{Senior})=\frac{\text{Number of seniors who like pizza}}{\text{Total number of seniors}}$.

Step2: Identify relevant values from the table

The number of seniors who like pizza is 10, and the total number of seniors is 15.

Step3: Calculate the probability

$P(\text{Pizza}|\text{Senior})=\frac{10}{15}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$