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.
The total number of people surveyed is 150. Out of those, 85 dislike apple juice. Therefore, the probability that a randomly chosen person dislikes apple juice is:
85/150
We can simplify this ratio by dividing both the numerator and denominator by 5:
17/30
Therefore, the probability that a randomly chosen person dislikes apple juice is 17:30 or 17/30.
A letter is to be randomly picked from the word MISSISSIPPI. Which set of letters have equal chances to be selected?
M, I, and P
M and P
S and I
M and I
S and I have equal chances to be selected. There are four instances of each letter in MISSISSIPPI, so the probability of selecting an S or an I is 4/11. The probability of selecting M is 1/11 and the probability of selecting P is 2/11. Therefore, S and I have equal chances to be selected from the word.
A six-sided number cube is rolled 30 times and lands on 3 ten times and on 5 eight times. Calculate the experimental probability of landing on a 3. Write your answer in the simplest form of a fraction.
The number cube is rolled a total of 30 times, and lands on 3 ten times. Therefore, the experimental probability of landing on a 3 is:
10/30
This fraction can be simplified by dividing both the numerator and denominator by 10:
1/3
Therefore, the experimental probability of landing on a 3 is 1/3 or one-third.
The experiment involved tossing three coins simultaneously. The experiment was carried out 100 times, and it was noted that three heads occurred 40 times. What is the difference between the experimental probability of getting three heads and its theoretical probability? Write the answer in the simplest form of fraction.
The theoretical probability of getting three heads in three coin tosses is (1/2) x (1/2) x (1/2) = 1/8, or one-eighth. This is because the probability of getting heads on a single coin toss is 1/2, and the probability of getting heads on three independent tosses is the product of the probabilities of getting heads on each toss.
The experimental probability of getting three heads in 100 trials is 40/100 = 2/5, or two-fifths.
The difference between the experimental probability and the theoretical probability is:
2/5 - 1/8 = 16/40 - 5/40
= 11/40
Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.
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?(1 point)
f(x)=
where x=2, 4, 6, 10
The probability model for this experiment can be represented in equation form as:
f(x) =
- 1/4 for x = 2
- 1/4 for x = 4
- 1/4 for x = 6
- 1/4 for x = 10
This probability model shows that each of the four number cards has an equal probability of 1/4 of being picked in a single draw.