Question

Three coins are tossed.
a)Determine the number of points in the sample space.
b)Construct a tree diagram and list the sample space.Determine the probability that
c)no heads are tossed.
d)exactly one head is tossed.
e)three heads are tossed.

Answer 1

HHH
HHT
HTH
THH
HTT
THT
TTH
TTT

Answer 2

a) 8 points
b) list is above
c) point 8 is the only point with no heads so P(zero heads) = 1/8
d) points 5,6,and 7 have exactly one head so P(one head) = 3/8
e) point 1 is the only case where three heads appear so P(three heads) = 1/8

Answer 3

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