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A coin is tossed 3 times and a sequence of heads and tails is recorded.
a) Determine the number of points in the sample space
b) Construct a tree diagram and list the sample space
Find the probability that:
c) No heads are tossed
d) Exactly one head is tossed
e) Three heads are tossed

Sagot :

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Solution:

Total number of trials = 250.

Number of times three heads appeared = 70.

Number of times two heads appeared = 55.

Number of times one head appeared = 75.

Number of times no head appeared = 50.

In a random toss of 3 coins, let E1, E2, E3 and E4 be the events of getting three heads, two heads, one head and 0 head respectively. Then,

(i) getting three heads

P(getting three heads) = P(E1)

     Number of times three heads appeared

=                   Total number of trials        

= 70/250

= 0.28

(ii) getting two heads

P(getting two heads) = P(E2)

     Number of times two heads appeared

=                 Total number of trials        

= 55/250

= 0.22

(iii) getting one head

P(getting one head) = P(E3)

     Number of times one head appeared

=                 Total number of trials        

= 75/250

= 0.30

(iv) getting no head

P(getting no head) = P(E4)

     Number of times on head appeared

=                 Total number of trials      

= 50/250

= 0.20

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