Basic Probability
What is the probability of randomly picking a White Car? (Simplify if possible)
Answer: 24/156 (simplified: 2/13)
You pick two cars. What is the probability that the first is Black and the second is Black?
Answer: (47/156) x (47/156) = 2,209/24,336
Identify the Mode of this dataset.
Answer: Black (Frequency:47)
What is the probability of picking a car that is either Silver or Gray?
Answer: (27+28)/156 = 45/156
You pick a car, return it, and pick another. What is the probability of picking a Green car, then a White car?
Answer: (2/156) x (24/156)= 48/24,336
What is the Range of frequencies between the most and least common colors?
Answer: 47-2=45
What is the probability of picking a car that is NOT Black?
Answer: (156-47)/156 = 109/156
What is the probability of picking a Red car twice in a row?
Answer: (20/156)2 x (24/156) = 400/24,336
Calculate the Mean number of cars per color category.
Answer: 156/7 = 22.28
Express the probability of picking a Green car as a percentage, rounded to the nearest tenth.
Answer: (2/156) x 100 = 1.3%
What is the probability of picking a Blue car and then any car that is NOT Blue?
If you were to create a circle graph(pie chart), how many degrees would the "Black" car section represent?
Answer: (47/156) x 360 = 108.5 degrees
If the sample size increased by 44 cars and they were all Red, what would be the new probability of picking a Red car?
Answer: (20+44)/(156+44)=64/200=32%
You pick 3 cars with replacement. What is the probability that all 3 are Silver?
Answer: (27/156)3=0.0052
Find the Median of the set of frequencies: (2, 18, 18, 20, 24, 27, 47).
Answer: 20 (the middle value in the ordered list)