Multiple Choice
A bag contains 6 red marbles, 3 white marbles, and 7 blue marbles. You pick a marble without looking. Find the probability of drawing a white marble.
A. three over eight
B. seven over sixteen
C. three over sixteen
D. thirteen over sixteen
The total number of marbles is 6 + 3 + 7 = 16. The probability of drawing a white marble is the number of white marbles (3) divided by the total number of marbles (16): 3/16. Therefore, the answer is C. three over sixteen.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
A. start fraction 1 over 3 end fraction; start fraction 2 over 3 end fraction
B. one-half; one-half
C. start fraction 5 over 6 end fraction ; one-half
D. start fraction 1 over 6 end fraction ; start fraction 5 over 6 end fraction
The numbers less than 3 on a standard number cube are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6 or 2/6, which can be simplified to 1/3. The probability of not rolling a number less than 3 is the probability of rolling a 3, 4, 5, or 6, which is 4 out of 6 or 4/6, which can be simplified to 2/3. Therefore, the answer is A. start fraction 1 over 3 end fraction; start fraction 2 over 3 end fraction.
A number cube is rolled 360 times and the results are recorded as follows: 54 ones, 60 twos, 66 threes, 71 fours, 35 fives, and 74 sixes. What is the experimental probability of rolling a two or a three?
A. 0.15
B. 0.1
C. 0.35
D. 0.65
The experimental probability of rolling a two or a three is the number of times a two or three was rolled divided by the total number of rolls: (60 + 66)/360 = 126/360 = 7/20. This can be simplified to 0.35, so the answer is C. 0.35.
Question 4 of 10
From a barrel of colored marbles, you randomly select 3 blue, 2 yellow, 7 red, 8 green, and 2 purple marbles. Find the experimental probability of randomly selecting either a green or a purple marble.
A. Start Fraction 9 over 22 End Fraction
B. start fraction 5 over 11 end fraction
C. The term shows 6 over 11.
D. one-half
The total number of marbles is 3 + 2 + 7 + 8 + 2 = 22. The number of green or purple marbles is 8 + 2 = 10. Therefore, the experimental probability of randomly selecting either a green or a purple marble is 10/22, which can be simplified to 5/11. Therefore, the answer is B. start fraction 5 over 11 end fraction.
A standard number cube is rolled 180 times. Predict how many times a 3 or a 5 will be the result.
A. 31 times
B. 60 times
C. 57 times
D. 30 times
When rolling a standard number cube, the probability of rolling a 3 or a 5 is 2/6 or 1/3. To predict how many times a 3 or a 5 will be the result in 180 rolls, we can multiply the probability by the total number of rolls: 1/3 x 180 = 60. Therefore, the answer is B. 60 times.
A new movie opened the other day. So far, 500,000 people have seen it. The producers of the movie needed to know if the people liked it. A random sample of 8,000 people were asked as they were leaving the theater if they liked the movie. Of those interviewed, 4,200 enjoyed the movie. Predict the total number of people who have enjoyed the movie.
A. 261,500 people
B. 262,645 people
C. 262,500 people
D. 263,000 people