Complete Fundamentals of Engineering Prep with
How many different 5 card hands can be dealt from a deck of 52 cards? - ANSWER The
Number of different permutations of n distinct objects taken r at a time:
A lottery draw consists of picking balls numbered 1 through 60 from a rotating drum. What is
the probability of drawing the #20 ball or an odd numbered ball during the first draw? - AN-
SWER Law of Compound/Joint Probability
Given the EIT exam has a 50% pass rate, and 5% of the people who take the exam have pre-
viously failed. What is the probability of passing the Exam on the first try if the probability of
passing the exam after you failed it is 80%? - ANSWER Conditional Probability
A baseball player has a 25% probability of hitting the ball. What is the probability that he
misses 3 pitches in a row? - ANSWER Independent Events
Consider the Discrete Distribution:
X: 2 3 4 5 6 7 8 9 10 11 12
P[X] 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
Which statement is incorrect?
A. Sum of all P{X} =1
B. P{2} = 36
C. P{7} + P{11} = 8/36
D. P{5.5} = 1/4 - ANSWER Discrete Distributions
D. There is no P{5.5}
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How many different 5 card hands can be dealt from a deck of 52 cards? - ANSWER The
Number of different permutations of n distinct objects taken r at a time:
A lottery draw consists of picking balls numbered 1 through 60 from a rotating drum. What is
the probability of drawing the #20 ball or an odd numbered ball during the first draw? - AN-
SWER Law of Compound/Joint Probability
Given the EIT exam has a 50% pass rate, and 5% of the people who take the exam have pre-
viously failed. What is the probability of passing the Exam on the first try if the probability of
passing the exam after you failed it is 80%? - ANSWER Conditional Probability
A baseball player has a 25% probability of hitting the ball. What is the probability that he
misses 3 pitches in a row? - ANSWER Independent Events
Consider the Discrete Distribution:
X: 2 3 4 5 6 7 8 9 10 11 12
P[X] 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
Which statement is incorrect?
A. Sum of all P{X} =1
B. P{2} = 36
C. P{7} + P{11} = 8/36
D. P{5.5} = 1/4 - ANSWER Discrete Distributions
D. There is no P{5.5}
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