SOLUTION: (III) Three coins are tossed, (a) Determine the number of points in the sample space (b) Construct a tree diagram and list the sample space (c) Find the probability that at lest

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Question 871970: (III) Three coins are tossed,
(a) Determine the number of points in the sample space
(b) Construct a tree diagram and list the sample space
(c) Find the probability that at lest two heads are tossed
(d) Find the probability that at most four head is tossed

Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) 2%5E3=8
b)
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
c)P=4%2F8=1%2F2
d)P=0, at most you can have 3 heads.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Three coins are tossed
(a) Determine the number of points in the sample space: 2%2A2%2A2 = 8
(b) Construct a tree diagram and list the sample space
HHH, HHT,HTH, THH, TTT, TTH, HTT, THT
(c) P( least two heads are tossed)= P(2) + P(3) = 3/8 + 1/8 = 4/8 = 1/2
(d) P(≤ four head is tossed) = 1 = P(0) + P(1) + P(2) + P(3)