This Then That!
Sample Space
Miss. Independent and Mr. Dependent
Statistics Hooray!
Box Plots Galore
100
Chenyu flips a coin 5 times. What is the probability that he flips tails all 5 times?
1/2*1/2*1/2*1/2*1/2=1/32=3.125%
100
What is the sample space for a family that has THREE children?
8
BBB, BBG, BGB, BGG, GGG, GBB, GBG, GGB
100
If you spin a spinner (labeled 1 to 5) twice, what is the probability of landing on 5 and then landing on 5 again?
1/5*1/5=1/25
100
You want to estimate the number of 8th graders at Dana who consider it relaxing to listen to music. Which sample is unbiased?
A. Survey 15 members of the band
B. Survey every 5th student whose name appears on an alphabetical list of 8th graders
B
100
What is the median of this box plot?
19
200
Tiffany spins a spinner with numbers 1 through 5 and then flips a coin. What is the probability that she lands on an odd number and then flips tails?
3/5*1/2=3/10
200
Xingyu flipped a coin three times. What is the total number of possible outcomes?
8 possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
200
If you roll a six-sided dice and toss a coin, what is the probability that you land on a 1 and then flip tails?
1/6*1/2=1/12
200
You want to estimate the number of students in a high school who ride the school bus. Which sample is unbiased?
A. 4 students in the hallway
B. All students in the marching band
C. 50 seniors at random
D. 100 students at random during lunch
A is not large enough
B not randomly selected
C not representative of the population since seniors are more likely to drive to school than other students
D is representative of the population, randomly selected, and large enough to provide accurate data. D is correct.
200
What is the median of this box plot?
32
300
What is the probability that you guess correctly on a multiple-choice test 4 times in a row? (Assume the answer choices are A, B, C, D).
1/4*1/4*1/4*1/4=1/256
300
Two dice are rolled. What is the sample space?
36 possibilities
300
You have 5 pink candies and 7 purple candies in a bag. What is the probability of eating a purple candy and then eating a pink candy?
7/12*5/11=35/132
300
Tasty Treats Baking Company asked a random sample of 100 students in the senior class at Arcadia High School the question, “Do you prefer chocolate or butterscotch Tasty Treats?” Everyone surveyed had to pick one of the two answers, and 42% said they preferred chocolate.
Based on this data, which of the following conclusions are valid?
A. About 42% of all students at Arcadia High prefer chocolate.
B. About 42% of all students in the senior class at Arcadia High prefer chocolate.
C. 42% of this sample preferred chocolate, but we cannot conclude anything about the population.
B
300
What is the Q1, median, and Q3 of this box plot?
Q1: 15
Median: 19
Q3: 21
400
Ben rolls a number cube that has sides labeled 1 to 6 and then flips a coin. What is the probability that he rolls a 3 or 4 and flips heads?
2/6*1/2=1/3*1/2=1/6
400
Jaron flipped a coin and spun a spinner that is divided into three equal-size parts (1, 2, 3). What is the total number of possible outcomes?
6
H1, H2, H3, T1, T2, T3
400
You have 4 red candies and 5 blue candies in a bag. What is the probability of taking one red candy, eating it, and then picking another red candy?
4/9*3/8=12/72=1/6
400
A group of randomly selected 6th graders at Dana were asked to pick their favorite genre of music. The table below shows the results of the survey. There are 240 6th graders at Dana.
Country music: 25
Rock music: 38
Oldies: 11
Other: 6
Based on the data, what is the most reasonable estimate for the number of 6th graders at Dana whose favorite genre of music is rock?
38/80=19/40
19/40*240=19*6=114
400
What is the range of this box plot?
Minimum: 25
Maximum: 38
Range: 38-25=13
500
You roll a six-sided dice twice. Find the probability of rolling a number greater than 2 and then a number less than 6.
4/6*5/6=2/3*5/6=10/18=5/9
500
At the boba shop, you can choose one cup size (small or large), one tea base (green tea, oolong tea, black tea), one flavor (passion fruit, mango, strawberry), and one topping (boba, lychee jelly, crystal boba, pudding, rainbow jelly). What are the total number of possible outcomes?
2*3*3*5=90
500
In a drawer with 4 red scrunchies, 3 green scrunchies, and 5 blue scrunchies, you select one, put it on your wrist, and select another. What is the probability of picking a green scrunchie and then picking another green scrunchie?
3/12*2/11=1/4*2/11=2/44=1/22
500
The dot plots show the times it took swimmers to swim the 100-meter backstroke in a swimming competition.
True or False:
The times in the finals vary noticeably less than the times in the semifinals
False. The finals is more spread out than the semifinals. The range is larger in the finals.
500
What is the IQR of this box plot?
Q1: 29
Q3: 35
IQR: 35-29=6