the table shows the results of spinning a four-colored spinner 50 times. find the experimental probability and express it as a decimal.
It is not possible to answer this question without knowing the outcomes of the 50 spins and the colors on the spinner.
you roll a number cube 20 times. the number 4 is rolled 8 times. what is the experimental probability of rolling a 4?
The experimental probability of rolling a 4 is 8/20.
Simplifying this fraction gives a decimal value of 0.4 or 40%.
A. 40%
B. 25%
C. 20%
D. 17%
The correct answer is A. 40%.
the probability of winning a game is 15%. if you play 20 times, how many times should you expect to win?
A. 5 times
B. 3 times
C. 6 times
D. 15 times
To find the answer, we can use the formula:
Expected number of wins = Probability of winning x Number of times played
Expected number of wins = 0.15 x 20 = 3
Therefore, you should expect to win 3 times if you play the game 20 times.
The answer is B. 3 times.
the probability of having a winning raffle ticket is 20%. if I bought 50 tickets, how many winning tickets should you expect to have?
A. 3
B. 8
C. 10
To find the answer, we can use the formula:
Expected number of winning tickets = Probability of winning x Total number of tickets
Expected number of winning tickets = 0.20 x 50 = 10
Therefore, you should expect to have 10 winning tickets if you buy 50 raffle tickets.
The answer is C. 10.
A company finds 5 defective toys in a sample of 600. predict how many defective toys are in a shipment of 24,000.
A. 40
B. 166
C. 200
D. 20
To find the answer, we can set up a proportion using the defective toys as the "part" and the total number of toys as the "whole":
5/600 = x/24000
To solve for x, we can cross-multiply and simplify:
5 x 24000 = 600 x
x = 200
Therefore, we can predict that there will be 200 defective toys in a shipment of 24,000.
The answer is C. 200.
which of the following is an example of independent events?
An example of independent events is rolling a fair six-sided die twice. The outcome of the first roll does not affect the outcome of the second roll. Another example is flipping a coin twice. The outcome of the first flip does not affect the outcome of the second flip. In both of these examples, the events are independent because the outcome of one event does not affect the probability of the other event.
a bag of fruit contains 4 apples, 1 plum, 2 apricots, and 3 oranges. pieces of fruit are drawn twice with replacement. what is p(apple, then apricot)?
A. 4/5
B.2/25
c. 3/25
d.3/5
The probability of drawing an apple on the first pick is 4/10, since there are 4 apples in a bag of 10 fruits. After replacing the apple, the probability of drawing an apricot on the second pick is 2/10, since there are 2 apricots remaining in a bag of 10 fruits.
Since the events are independent and we are interested in the probability of both events occurring, we can multiply the probabilities:
P(apple, then apricot) = P(apple) x P(apricot) = (4/10) x (2/10) = 8/100
Simplifying the fraction gives 2/25.
Therefore, the answer is B. 2/25.
a coin is flipped three times. how the does p(H, H, H) compare to p(H, T, H)?
A. p(H, H, H) is greater than p(H, T, H).
B. p(H, T, H) is greater than p(H, H, H)
C. the probabilities are the same.
D. there is no way to tell with the information given.
Since the coin has an equal probability of landing heads or tails each time it is flipped, the probability of getting heads on any given flip is 1/2, and the probability of getting tails is also 1/2.
For three independent coin flips, the probability of getting three heads in a row (H, H, H) is:
P(H, H, H) = (1/2) x (1/2) x (1/2) = 1/8
The probability of getting heads on the first and third flips, with tails on the second flip (H, T, H) is:
P(H, T, H) = (1/2) x (1/2) x (1/2) = 1/8
Therefore, p(H, H, H) is equal to p(H, T, H).
The answer is C. the probabilities are the same.
which of the following is an example of independent events?
A. rolling two number cubes.
B. selecting marbles from a bag without replacement after each draw
C. choosing and eating a piece of candy from a dish and then choosing another piece of candy
D. pulling a card from a deck when other players have already pulled several cards from that deck
The correct answer is D. pulling a card from a deck when other players have already pulled several cards from that deck.
Rolling two dice (option A) is an example of independent events if the dice are fair and rolled independently.
Choosing and eating a piece of candy from a dish and then choosing another piece of candy (option C) is an example of dependent events because the probability of getting a certain kind of candy changes after the first candy is taken.
Selecting marbles from a bag without replacement after each draw (option B) is also an example of dependent events because the probability of getting a certain color of marble changes after each marble is drawn.
Therefore, option D is the only example of independent events from the given options.
a coin is tossed and a number cube is rolled. what is p(heads, a number less than 5):
A. 1/3
B. 5/12
C. 2/3
D. 5/6
The probability of getting heads on the coin toss is 1/2, and the probability of rolling a number less than 5 on a fair number cube is 4/6, or 2/3.
Since the coin toss and number roll are independent events, we can multiply the probabilities to find the probability of both events occurring:
P(heads, a number less than 5) = P(heads) x P(number less than 5) = (1/2) x (2/3) = 1/3
Therefore, the answer is A. 1/3.