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?

Answer 1

There are a couple of ways to approach this question, but one common method is to use probability as a fraction or decimal. To do so, we need to recall that the probability of an event is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the event is "disliking apple juice" and the total number of possible outcomes is 150, since that's the size of the group.

To find the number of favorable outcomes, we need to know how many people in the group dislike apple juice. According to the survey, that number is 85. Therefore, the probability of disliking apple juice is:

P(dislike) = favorable outcomes / total outcomes = 85 / 150

This fraction can be simplified by dividing both the numerator and denominator by 5, since 5 is a common factor of both numbers:

P(dislike) = 17 / 30

This means that the chance (or probability) of choosing a person who dislikes apple juice at random from this group is 17/30, which is approximately 0.567 or 56.7% as a percentage.

Answer 2

An experiment involves picking a card from the number cards 2, 4, 6, 10. In equation form. What is the probability model for this experiment?

F(x) = [], where x = 2, 4, 6, 10

Answer 3

The probability model for this experiment can be written as:

F(x) = {1/4, x = 2
1/4, x = 4
1/4, x = 6
1/4, x = 10}

This says that the probability of picking each card is 1/4, since there are four cards in total with equal likelihood of being chosen. The values of x represent the possible outcomes of the experiment, which are the numbers written on the cards. So, the probability model shows that there is an equal chance of picking each card, and that the probability of picking any one card is 1/4 or 25%.