three coins are tossedtossed simultaneously 50 times with the following frequency of different outcomes their outcomes are r3 head two head one head no head and their frequency are 6 ,9 28, 7
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Answers
Answer:
Total no. of outcomes n=50
Let E1 be the event of getting 3 heads
et E1 be the event of getting 3 headsp(E1) = n(E1)/n = 6/50 = 3/25
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Let E2 be the event of getting 2 heads
p(E2) = n(E2)/n = 9/50
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Let E3 be the event of getting 1 head
p(E3) = n(E3)/n = 28/50 = 14/25
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Let E4 be the event of getting no head
p(E4) = n(E4)/n = 7/50
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Disclaimer:
The complete question must be:
Three coins are tossed simultaneously 50 times with the following frequency of different outcomes their outcomes are 3 head two head one head no head and their frequency are 6 ,9 28, 7. What is the probability of each event?
Concept:
Probability tells us about how likely something is going to happen, it can be calculated by:
P(E)= Favourable Outcome/ Total number of outcome
Given:
The frequencies of the each outcomes.
Find:
The probability of each event.
Solution:
The Total no. of outcomes is 50.
Let, E0 be the event of getting no heads
P(E0)= Favourable Outcome/ Total number of outcome= 7/50
P(E0)=7/50
Let, E1 be the event of getting one heads
P(E1)= Favourable Outcome/ Total number of outcome= 28/50
P(E1)=14/25
Let, E2 be the event of getting two heads
P(E2)= Favourable Outcome/ Total number of outcome= 9/50
P(E2)=9/50
Let, E3 be the event of getting three heads
P(E3)= Favourable Outcome/ Total number of outcome= 6/50
P(E3)=3/25
Hence, the probabilty of getting three, two, one and no heads are 3/25, 9/50, 14/25 and 7/50 respectively.
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