34. Solve the following regarding probability: A. A 13 card hand is dealt from a
ID: 2934534 • Letter: 3
Question
34. Solve the following regarding probability:
A.
A 13 card hand is dealt from a well-shuffled standard 52-card deck. What is the probability that 2 red cards and 11 black cards are dealt?
a) 0.0040
b) 0.0540
c) 0.0440
d) 0.0140
e) 0.0020
f) None of the above.
B.
What is the probability that 3 hearts are chosen if 8 cards are chosen from a well-shuffled deck of 52 playing cards?
a) 0.00000007
b) 0.00000005
c) 0.00000003
d) 0.00000038
e) 0.21881482
f) None of the above.
C.
An urn contains 11 white balls and 8 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball?
a) 0.9998
b) 0.9935
c) 0.9266
d) 0.0734
e) 0.0002
f) None of the above.
D.
A fair coin is tossed 14 times. What is the probability that the coin lands head at least 12 times?
a) 0.0056
b) 0.0063
c) 0.0129
d) 0.0065
e) 0.0064
f) None of the above.
Explanation / Answer
A) probability = 26C2 * 26C11 / 52C13 = 0.0040
Option-A
B) probability = 13C3 * 39C5 / 52C8 = 0.2188
Option-E
C) probability = 1 - P(zero green)
= 1 - 11C7 / 19C7
= 0.9935
Option-B
D) P(at least 12 times) = P(12 times) + P(13 times) + P(14 times)
= 14C12 * 0.512 * 0.52 + 14C13 * 0.513 *0.5 + 14C14 * 0.514 = 0.0065
Option-D
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