7. Find the point probabilities below, and show your work: a. The probability of graduating from an undergraduate degree is 80%. What is the probability of not graduating b. 4/10 individuals get a job out of high school and 4/10 go to college. What probability of people do neither? c. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn with replacement from the jar (i.e., the first marble was put back in before the second draw). What is the probability that both of the marbles are black? d. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn without replacement from the jar (i.e., the first marble was not put back in before the second draw). What is the probability that both of the marbles are black? e. The probability of finishing a 5km race is 90%. The probability of finishing a race and running under a 20 minute 5km race is 15%. What is the probability that a person will run a 5km race in 20 min given they finished the race? f. A man goes to the mall. The probability that he buys: a) a pair of pants is 0.4, b) a shirt is 0.3, c) both pants and a shirt is .2. What is the probability that the man leaves the mall with pants, a shirt, or both? g. For the question above, what is the probability that the man leaves the mall with nothing?
7. Find the point probabilities below, and show your work:
a. The
probability of not graduating
b. 4/10 individuals get a job out of high school and 4/10 go to college. What probability of
people do neither?
c. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn with
replacement from the jar (i.e., the first marble was put back in before the second draw).
What is the probability that both of the marbles are black?
d. A jar contains 12 red marbles and 8 black marbles. Two marbles are drawn without
replacement from the jar (i.e., the first marble was not put back in before the second draw).
What is the probability that both of the marbles are black?
e. The probability of finishing a 5km race is 90%. The probability of finishing a race and
running under a 20 minute 5km race is 15%. What is the probability that a person will run
a 5km race in 20 min given they finished the race?
f. A man goes to the mall. The probability that he buys: a) a pair of pants is 0.4, b) a shirt is
0.3, c) both pants and a shirt is .2. What is the probability that the man leaves the mall with
pants, a shirt, or both?
g. For the question above, what is the probability that the man leaves the mall with nothing?
Disclaimer: "As per the guideline we can do only first three sub-part of a question. In order to get the answer of the remaining sub-parts. please re-submit the question by mentioning the sub-parts that needs to be solved."
The probability of the complement of an event is .
The probability that neither A nor B is .
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