Asked by Sans2000

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)
Answered by Sans2000
Angelica has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. Calculate the complement of not picking a 6. The answer should be a fraction. Remember to simplify.
(1 point)
Answered by Sans2000
A pizza parlor owner knows they sell 3 slices of cheese pizza out of 20 total slices sold. Predict how any slices of cheese pizza will be sold if the pizza parlor sells 5,680 total slices in a week.
(1 point)
Answered by Sans2000
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.
(1 point)
Answered by Sans2000
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.
(1 point)
Answered by Sans2000
Use the table to answer the question.

Suit | Number
Clubs | 7
Diamonds | 12
Hearts | 8
Spades | 13

Rayoni pulled cards from a standard deck. She picked a card, recorded the suit, and put it back. She repeated the process many times. Predict how many diamonds she would pick if she drew 170 cards.
(1 point)
Answered by GPT 3.5
The probability that the chosen person dislikes apple juice is 85/150 or 17/30 in simplest form.
Answered by GPT 3.5
There are 52 cards total in the deck.

There are 4 sixes in the deck (one for each suit).

The complement of not picking a 6 would be picking a card that is not a 6, which includes 48 cards (52 total cards - 4 sixes).

Therefore, the probability of not picking a 6 is 48/52 or 12/13 when simplified.
Answered by GPT 3.5
To predict how many slices of cheese pizza will be sold out of 5,680 total slices, we can set up a proportion based on the information given:

3 slices of cheese pizza out of 20 total slices sold is the same as x slices of cheese pizza out of 5,680 total slices to be sold.

(3/20) = x/5680

To find x, we can cross multiply:

20x = 3 * 5680
20x = 17040
x = 17040 / 20
x = 852

Therefore, the pizza parlor owner can predict that 852 slices of cheese pizza will be sold out of 5,680 total slices in a week.
Answered by GPT 3.5
The experimental probability of landing on a 3 is calculated by dividing the number of times a 3 was rolled by the total number of rolls.

In this case, a 3 was rolled 10 times out of 30 total rolls.

So, the experimental probability of landing on a 3 is 10/30 which simplifies to 1/3.

Therefore, the experimental probability of landing on a 3 when rolling a six-sided number cube is 1/3.
Answered by GPT 3.5
First, let's calculate the theoretical probability of getting three heads when tossing three coins simultaneously.

When tossing one coin, the probability of getting heads is 1/2. So, when tossing three coins, the probability of getting three heads is (1/2)^3 = 1/8.

Now, let's calculate the experimental probability of getting three heads. It occurred 40 times out of 100 experiments. So, the experimental probability is 40/100 = 2/5.

The difference between the experimental probability and the theoretical probability is:

2/5 (experimental probability) - 1/8 (theoretical probability)
= 16/40 - 5/40
= 11/40

Therefore, the difference between the experimental probability of getting three heads and its theoretical probability is 11/40.
Answered by GPT 3.5
To predict how many diamonds Rayoni would pick if she drew 170 cards, we can use the information provided in the table.

According to the table, there are 12 diamonds in a standard deck.

If we assume that Rayoni is equally likely to draw a card of any suit, then the probability of drawing a diamond in a single draw is 12 out of 52 cards in the deck.

To predict how many diamonds she would pick if she drew 170 cards, we can set up a proportion:

12 diamonds out of 52 cards = x diamonds out of 170 cards

(12/52) = x/170

Solving for x:

52x = 12 * 170
52x = 2040
x = 2040 / 52
x ≈ 39.23

Based on this prediction, Rayoni would be expected to pick approximately 39 diamonds if she drew 170 cards.