Question

Three coins are tossed together. Write all the outcomes of the experiment and find the probability of getting:
a) exactly two heads
b) at least two heads
c) at least one head and one tail
d) no tails

Answer 1

Answer:

In tossing three coins, the sample space is given by

{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

(a) Then all possible outcomes are =8

(b) Then number of possible outcomes=8

(c)Then the probability of getting at least one head=

numberoftotalpossibleoutcomes

numberofpossibleoutcomesofoneheads

=

8

3

(d)Then the probability of getting at least two heads=

numberoftotalpossibleoutcomes

numberofpossibleoutcomesoftwoheads

=

8

3

(e)Then the probability of getting no tail=

numberoftotalpossibleoutcomes

numberofpossibleoutcomesofnotail

Answer 2

Answer:

when three coins tossed together;hhh,ttt,thh,hth.hht,htt,tht,tth(8 outcomes)

a)p(two heads)=3/8

b)p(least two heads)=1/2

c)p(one head and tail)=6/8=3/4

d)p(no tail)=1/8

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