Question

1)   An experiment consists of throwing two six-sided dice and observing the number of spots on...

1)   An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces. Determine the probability that

a.

the sum of the spots is 3.

b.

each die shows four or more spots.

c.

the sum of the spots is not 3.

d.

neither a one nor a six appear on each die.

e.

a pair of sixes appear.

f.

the sum of the spots is 7.
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Answer #1

Solution:-Given  An experiment consists of throwing two six-sided dice and observing the number of spots on the upper faces

  • Total outcomes on throwing 2 dice = 6*6 = 36

a.

the sum of the spots is 3=2/36(sum of 3 can be obtained as 1-2 or 2-1 , ie in 2 ways)

b.

each die shows four or more spots.=9/36

c.

the sum of the spots is not 3.=34/36

d.

neither a one nor a six appear on each die.=16/36

e.

a pair of sixes appear.=1/36

f.

the sum of the spots is 7.=6/36
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