Three Coins Three coins are tossed hint you may want to draw

Three Coins. Three coins are tossed. (hint you may want to draw a tree diagram to list the sample space.)

a) Determine the number of points in the sample space.

c) Determine the probability that no heads are tossed.

d) Determine the probability that exactly one head is tossed.

e) Determine the probability that three heads are tossed.

Solution

No of points in sample space = 23 = 8 (ans)

sample space = [ HHH,HHT,HTH,THH,HTT,THT,TTH,TTT]

P(no heads) = 1/8 (ans) ( from the sample space , we can see that only on one occasion No heads are tossed)

P(1 head) = 3/8(ans)

P (3heads) = 1/8 (ans)

Three Coins. Three coins are tossed. (hint you may want to draw a tree diagram to list the sample space.) a) Determine the number of points in the sample space.

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