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STATISTICS 101 section 2
Quiz 4
This is a multiple choice and short answer quiz. If you erase, erase completely. Don’t
spend too much time on any single question. All blanks have equal weight unless otherwise
stated.
You may use a calculator. All numerical answers must be accurate to two decimal places.
Don’t start until you are told so.
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1. [3 pts] A standard deck of 52 cards is shuffled, two cards are dealt. (without replacement)
(a) What is the probability that the first card is a Queen or a diamond?
Define event A = the first card is Queen and event B = the first card is a
diamond.
P (A or B) = P (A) + P (B) − P (A and B) =
4
13
1
16
+
−
=
= 0.31
52 52 52
52
(b) What is the probability that the second card is a two given that the first card is
one of face cards (Aces, Kings, Queens or Jacks)?
4
51
(c) What is the probability that all two cards are diamonds?
13 12
×
= 0.06
52 51
2. (2pts) (C) is correct, both has the same chance 1/26 .
3. (3pts)
(a), (1/6)10 = 1/60466176
(b), 1 − (1/610 ) ≈ 1
(c), (5/6)10 = 0.16
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