Probability I
Which of the following events has the greatest theoretical probability?
a. Tossing a 5 on the number cube labeled 1-6.
b. tossing a penny and having it land tails up.
c. Spinning a 7 on a spinner with 5 sections labeled 2, 4 , 6, 8, and 10.
d. Pulling a green ribbon randomly from a bag with 1 red, 1 yellow, and 3 green ribbons.
以下哪个事件的理论概率最大？ a. 将 5 抛在标有 1-6 的数字骰子上。
b. 抛出一枚硬币，硬币反面朝上。
c. 在一个有 5 个格子（分别标有 2、4、6、8 和 10）的转盘上，旋转出 7。
d. 从一个装有 1 条红丝带、1 条黄丝带和 3 条绿丝带的袋子中随机抽出一条绿丝带。
d. Pulling a green ribbon randomly from a bag with 1 red, 1 yellow, and 3 green ribbons.
d. 从一个装有 1 条红丝带、1 条黄丝带和 3 条绿丝带的袋子中随机抽出一条绿丝带。
Delcon spins a spinner two times with the number 1-4 on it. How many outcomes are possible?
Delcon 旋转一个带有 1-4 号数字的转盘两次。有多少种可能的结果？
a. 4
b. 8
c. 12
d. 16
d. 16
A spinner has three equal sections. The following tables gives the results of 60 spins on the spinner.
outcome frequency
blues 25
red 18
yellow 17
How much greater is the experimental probability of landing on blue than the theorectical probability of landing on blue?
a. 1/4
b. 1/10
c. 1/12
d. 1/20
一个旋转器有三个相等的部分。下表列出了旋转器60次的结果。
结果频率
蓝色 25
红色 18
黄色 17
实验中落在蓝色的概率比理论中落在蓝色的概率大多少？
a. 1/4
b. 1/10
c. 1/12
d. 1/20
c. 1/12
Delcon spins a spinner two times with the number 1-4 on it.
What is the probability of landing on the number 1 with the first spin and 2 with the second spin?
Delcon 旋转一个带有 1-4 号数字的转盘两次。
第一次旋转停在数字 1 上，第二次旋转停在数字 2 上的概率是多少？
a. 1/16
b. 1/12
c. 1/8
d. 1/4
a. 1/16
The following outcomes gives the results of tossing a number cube 50 times.
以下结果给出了掷一个数字骰子 50 次的结果。
2 5 3 6 5 4 6 6 3 1
4 2 2 4 1 6 5 3 3 6
5 3 2 5 4 6 6 1 3 5
3 1 4 4 3 1 2 5 5 2
6 4 1 3 3 2 1 1 3 6
Which of the following is the experimental probability of tossing a 3 expressed as a percent?
以下哪个选项是以百分比表示的掷出 3 的实验概率？
a. 11%
b. 17%
C. 20%
d. 22%
c. 20%
Destiny has a bag with 3 green, 4 red, and 5 blue marbles. Destiny will pick 2 marbles form the bag, one at a time without looking. She will not replace a marble before picking the next marble. What is the probability of Destiny picking a red marble, followed by a green marble?
黛丝蒂妮有一个袋子，里面装着3颗绿色弹珠、4颗红色弹珠和5颗蓝色弹珠。黛丝蒂妮会从袋子里取出2颗弹珠，每次取一颗，而且不会看任何角度。她不会在取出下一颗弹珠之前把上一颗弹珠放回原位。黛丝蒂妮先取出一颗红色弹珠，然后又取出一颗绿色弹珠的概率是多少？
a. 1/12
b. 1/11
c. 7/12
d. 1/2
b. 1/11
Mr. Perez designs a probability model to help him predict which color car high customers will want to buy. He puts equal numbers of red, black, white, gray, and blue slips of paper into a bag to represent all the different possible car colors. Which of the following statements about the model are true?
a. Mr. Perez will most likely not pull any black slips.
b. Mr. Perez is more likely to pull a red slip than a blue slip.
c. Adding another white slip would make this a non-uniform probability model.
d. The results of Mr. Perez's experiment are likely to exactly match the frequency with which his customers select each color car.
佩雷斯先生设计了一个概率模型，帮助他预测高消费顾客会购买哪种颜色的汽车。他将等量的红色、黑色、白色、灰色和蓝色纸条放入一个袋子中，分别代表所有可能的汽车颜色。以下关于该模型的陈述中，哪些是正确的？
a. 佩雷斯先生很可能不会抽到黑色纸条。
b. 佩雷斯先生抽到红色纸条的可能性比抽到蓝色纸条的可能性更大。
c. 再添加一张白色纸条会使这个概率模型变成非均匀分布。
d. 佩雷斯先生的实验结果很可能与他的顾客选择每种颜色汽车的频率完全一致。
a. Mr. Perez will most likely not pull any black slips.
a. 佩雷斯先生很可能不会弄出任何黑单
A bag hold a number of ribbons as given in the table below.
color number of ribbons in bag
black 1
blue 3
green 4
Jolene pulls a colored ribbon from a bag and does not replace it. She then draws a second ribbon.
How man outcomes are possible?
一个袋子里装着下表所示的丝带数量。
颜色 袋子里丝带的数量
黑色 1
蓝色 3
绿色 4
乔琳从袋子里抽出一条彩色丝带，并没有放回原处。然后，她又抽出一条丝带。
可能有多少种结果？
a. 5
b. 6
c. 8
d. 9
b. 6
For each situation, tell whether the situation is unlikely, likely, or neither likely nor unlikely.
a. Drawing a 10 from a bag with 100 slips of paper numbered 1-100.
b. Rolling a number less than 5 on a number cube labeled with the numbers 1-6.
c. Drawing a red marble from a bag containing 8 red and 8 blue marbles.
对于每种情况，判断其可能性是不太可能、可能还是既不可能也不可能。
a. 从一个装有100张纸条的袋子中抽出一个数字10，纸条上标有1-100的编号。
b. 在标有1-6的数字骰子上掷出一个小于5的数字。
c. 从一个装有8颗红色和8颗蓝色弹珠的袋子中抽出一颗红色弹珠。
a. unlikely
b. likely
c. neither likely nor unlikely
a. 不太可能
b. 可能
c. 既不可能也不可能
A bag hold a number of ribbons as given in the table below.
color number of ribbons in bag
black 1
blue 3
green 4
Jolene pulls a colored ribbon from a bag and does not replace it. She then draws a second ribbon.
What is the probability that Jolene draws two blue ribbons?
一个袋子里装有下表所示的丝带数量。
颜色 袋子中丝带的数量
黑色 1
蓝色 3
绿色 4
乔琳从袋子里抽出一条彩色丝带，并没有放回原处。然后，她又抽出一条丝带。
乔琳抽出两条蓝色丝带的概率是多少？
a. 3/28
b. 9/64
c. 9/56
d. 6/25
a. 3/28