Question

twenty seventh - grade students are polled about which of three ice - cream flavors they prefer. if one student is picked at random, which of the following tables represents vanilla as an event that is likely?
a.

favorite ice cream	chocolate	vanilla	butter pecan

b.

favorite ice cream	chocolate	vanilla	butter pecan

c.

favorite ice cream	chocolate	vanilla	butter pecan

d.

favorite ice cream	chocolate	vanilla	butter pecan

Explanation:

Step1: Recall the concept of likelihood

An event is likely when its probability is high. Probability of an event = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Total number of students polled is 20.

Step2: Calculate probabilities for each table

Table A

Probability of vanilla = $\frac{10}{10 + 10+0}=\frac{10}{20}=0.5$

Table B

Probability of vanilla = $\frac{8}{6 + 8+6}=\frac{8}{20}=0.4$

Table C

Probability of vanilla = $\frac{17}{2 + 17+1}=\frac{17}{20}=0.85$

Table D

Probability of vanilla = $\frac{2}{12 + 2+6}=\frac{2}{20}=0.1$

Step3: Determine the likely - event

The highest probability among the options is 0.85 in Table C, so vanilla is most likely to be picked in Table C.

Answer:

C.