The numbers 13579 are written down on individual slips of pa

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.

Solution

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.

 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

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