Question

Ella, Danila, and Sophia are competing in an eating contest. Their probabilities of winning the contest are as follows:

P(Ella wins) =0.75
P(Danila wins) =5%
P(Sophia wins) = 1/5
Put the following events in order from least to most likely.

Answer 1

To rank the events from least to most likely, compare their probabilities: P(Danila wins) = 1/20, P(Sophia wins) = 1/5, and P(Ella wins) = 3/4.

Step-by-step explanation:

To rank the events from least to most likely, we need to compare their probabilities. The probability of an event represents the likelihood of it occurring.

Given the probabilities:

• P(Ella wins) = 0.75
• P(Danila wins) = 5%
• P(Sophia wins) = 1/5

We can convert the percentages to fractions for easier comparison:

• P(Ella wins) = 3/4
• P(Danila wins) = 5/100 = 1/20
• P(Sophia wins) = 1/5

Now, let's order the events:

1. P(Danila wins) = 1/20 (least likely)
2. P(Sophia wins) = 1/5
3. P(Ella wins) = 3/4 (most likely)