terrence is playing a game in which he will randomly select one square tile and one round tile from the tile…

terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below. before he does so, he tries to guess which tiles he will draw. of the four possible guesses listed below, which will give terrence the highest chance of success? a. black or pink square tile and blue or green round tile b. yellow square tile and yellow round tile c. green, brown, or white square tile and black or white round tile d. red square tile and red or white round tile

terrence is playing a game in which he will randomly select one square tile and one round tile from the tile sets shown below. before he does so, he tries to guess which tiles he will draw. of the four possible guesses listed below, which will give terrence the highest chance of success? a. black or pink square tile and blue or green round tile b. yellow square tile and yellow round tile c. green, brown, or white square tile and black or white round tile d. red square tile and red or white round tile

Answer

Explanation:

Step1: Count square tiles

There are 50 square tiles in total.

Step2: Count round tiles

There are 30 round tiles in total.

Step3: Calculate probabilities for option a

Number of black or pink square tiles: 4 + 4 = 8. Probability of getting black or pink square tile is $\frac{8}{50}$. Number of blue or green round tiles: 6+6 = 12. Probability of getting blue or green round tile is $\frac{12}{30}$. Combined probability is $\frac{8}{50}\times\frac{12}{30}=\frac{96}{1500}$.

Step4: Calculate probabilities for option b

Number of yellow square tiles: 10. Probability of getting yellow square tile is $\frac{10}{50}$. Number of yellow round tiles: 4. Probability of getting yellow round tile is $\frac{4}{30}$. Combined probability is $\frac{10}{50}\times\frac{4}{30}=\frac{40}{1500}$.

Step5: Calculate probabilities for option c

Number of green, brown, or white square tiles: 4 + 8+ 2 = 14. Probability of getting such square tile is $\frac{14}{50}$. Number of black or white round tiles: 8+2 = 10. Probability of getting such round tile is $\frac{10}{30}$. Combined probability is $\frac{14}{50}\times\frac{10}{30}=\frac{140}{1500}$.

Step6: Calculate probabilities for option d

Number of red square tiles: 6. Probability of getting red square tile is $\frac{6}{50}$. Number of red or white round tiles: 8 + 2= 10. Probability of getting such round tile is $\frac{10}{30}$. Combined probability is $\frac{6}{50}\times\frac{10}{30}=\frac{60}{1500}$.

Answer:

C. green, brown, or white square tile and black or white round tile