Question
Two similar coins were tossed simultaneously 1000 times and the frequency distribution of heads obtained on each toss is as below :
Number of heads
|
0
|
1
|
2
|
Frequency
|
200
|
500
|
300
|
Find the probabilities of the following :
(i) Probability of getting one head.
(ii) Probability of getting two heads.
(iii) Probability of getting at least one head.
(iv) Probability of getting less than two heads.
(v) Probability of getting three heads.
(vi) Probability of getting not more than two heads.
Solution
Total number of cases = 1000
(i) Total number of cases favouring the event of getting one head = 500.
so, P (one head) 
(ii) P (two head) 
(iii) P (atleast one head) = P (1 head or 2 heads) 
(iv) P (less than two head) = P (0 head or 1 head) 
(v) P (three heads) 