A survey taken by 150 people revealed that 65 like apple juice while 85 dislike it. One person is randomly chosen from this group. What is the chance that the chosen person dislikes apple juice?
Write your answer as a ratio in simplest form. (1 point)
The probability of choosing a person who dislikes apple juice can be calculated as (number of people who dislike apple juice) / (total number of people surveyed).
So, the probability is:
85 / 150
Simplifying the ratio by dividing both numbers by 5, we get:
17 / 30
Therefore, the chance that the chosen person dislikes apple juice is 17:30.
A letter is to be randomly picked from the word MISSISSIPPI. Which set of letters have equal chances to be selected? (1 point)
In the word MISSISSIPPI, each letter has a different frequency of occurrence.
To determine which letters have equal chances of being selected, we need to identify all the distinct letters in the word, and then divide the total number of occurrences of each letter by the total number of letters in the word.
The distinct letters in MISSISSIPPI are M, I, S, and P.
- The letter M occurs 1 time.
- The letter I occurs 4 times.
- The letter S occurs 4 times.
- The letter P occurs 2 times.
Calculating the probability of choosing each letter:
- P(M) = 1/11
- P(I) = 4/11
- P(S) = 4/11
- P(P) = 2/11
Therefore, the sets of letters with equal chances to be selected are I and S.