1. An experiment consists of casting a pair of dice and observing the number tha
ID: 3266482 • Letter: 1
Question
1. An experiment consists of casting a pair of dice and observing the number that falls uppermost on each die. We may represent each outcome of the experiment by an ordered pair of numbers, the first representing the number that appears uppermost on the first die and the second representing the number that appears uppermost on the second die.
Determine the event that the number that falls uppermost on the first die is double that of the number that falls on the second die.
a. {(1,3), (2,6), (4,2)}
b. {(1,2), (5,3), (6,6)}
c. {(1,1), (2,1), (1,6)}
d. {(2,1), (4,2), (6,3)}
2. Three people are selected from a group of 7 juniors and 5 seniors. The probability that 1 junior and 2 seniors are selected is:
3.A leprechaun has a sack containing 5 diamonds, 16 pieces of coal, and 12 rocks. You are allowed to reach into the sack and randomly select 2 things without looking. What is the probability that both will be diamonds?
Explanation / Answer
1. d. {(2,1), (4,2), (6,3)}
2. P(1 junior and 2 seniors) = 7C1 x 5C2 / 12C3
= 7 x 10 / 220
= 0.318
3. Total items = 5+16+12 = 33
P(both will be diamonds) = 5C2/33C2
= 0.019
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