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The numbers {1,3,5,7,9} are written down on individual slips of paper and placed

ID: 3440662 • Letter: T

Question

The numbers {1,3,5,7,9} are written down on individual slips of paper and placed in a hat. Two slips of paper are chosen at random.
a) List the sample space.
b) What is the probability the product of the two is larger than 30. The numbers {1,3,5,7,9} are written down on individual slips of paper and placed in a hat. Two slips of paper are chosen at random.
a) List the sample space.
b) What is the probability the product of the two is larger than 30. The numbers {1,3,5,7,9} are written down on individual slips of paper and placed in a hat. Two slips of paper are chosen at random.
a) List the sample space.
b) What is the probability the product of the two is larger than 30.

Explanation / Answer

a) The sample space is S = { (1,3), (1,5), (1,7), (1,9), (3.5),(3,7),(3,9),(5,7),(5,9),(7,9)}.

b) The product of the two slips is from (a) can be seen as S' = {3, 5, 7, 9, 15, 21, 27, 35, 45, 63}. The probability the product of the two larger than 30 is thus 3/10 = 0.3.