harold randomly selected one square tile and one round tile from the sets shown below. what is the…

Answer:

D. 4/45

Explanation:

Step1: Calculate total square tiles

There are 5 + 4+ 3+ 3 = 15 square tiles.

Step2: Calculate probability of pink square tile

There are 4 pink square tiles. Probability $P_{square}=\frac{4}{15}$.

Step3: Calculate total round tiles

There are 5 + 5+ 5+ 5+ 5+ 5 = 30 round tiles.

Step4: Calculate number of red or blue round tiles

There are 5 red and 5 blue round tiles. So 5 + 5 = 10 red - or - blue round tiles.

Step5: Calculate probability of red or blue round tile

Probability $P_{round}=\frac{10}{30}=\frac{1}{3}$.

Step6: Calculate combined probability

Since the two events are independent, $P = P_{square}\times P_{round}=\frac{4}{15}\times\frac{1}{3}=\frac{4}{45}$.