Question

dylan looked at some boxes of cereal in the grocery store. for each one, he recorded the size and whether or not it contained a prize.

	prize	no prize
regular size	2	2

what is the probability that a randomly selected box of cereal is regular size and contains a prize?

simplify any fractions.

Explanation:

Step1: Calculate total number of cereal boxes

Add all values in the table: \(5 + 8+2 + 2=17\)

Step2: Find number of regular - size boxes with a prize

From the table, the number of regular - size boxes with a prize is \(2\)

Step3: Calculate the probability

Probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, \(P = \frac{2}{17}\)

Answer:

\(\frac{2}{17}\)