5. (a) Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes :
Outcomes 3 heads 2 heads 1 head 3 tails
Frequency I 23 | 84 | 71 | 22 Respectively
Find the probability of getting
(i) 3 heads
(ii) No heads
(iii) at least two heads
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Answer:
The probability of tossed three coins.
n(s)={HHH, HHT, HTH, HTT, TTT, THH, THT, TTH}
P(s)={ 8}
The A probability of 3 heads
n(A)={ HHH}
p(A)={1}
p(A)=n(A)/n(s)
= 1/8
B the event no heads
n(B)={TTT}
=[1]
1/8
C the event at least two heads
n(c)={HHH, HTH,HHT ,THH,}
=(4)
= 4/8
n(c)=1/2
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