1500 families with 2 children were selected randomly and the following data were recorded :
Number of girls 2. 1.
in a family
1
number of. 300. 500.
family
500
Answers
Answer:
Probability is the study of the chances of events happening.
Event:
A Possible outcome or combination of outcomes is called event.
The probability of happening our event always lies from 0 to 1.
The sum of all the probabilities of all possible outcomes of an experiment is 1.
Required probability=number of trials in which the event E has happened/Total number of trials
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Solution:
Total numbers of families = 1500
Let E1, E2 & E3 be the events choosing 2girls , 1 girl and no girl.
(i) Numbers of families having 2 girls = 475
Probability P(E1)= Numbers of families having 2 girls/Total numbers of families
= 475/1500 = 19/60
P(E1)= 19/60
(ii) Numbers of families having 1 girls = 814
Probability ,P(E2)= Numbers of families having 1 girls/Total numbers of families
= 814/1500 = 407/750
P(E2)= 407/750
(iii) Numbers of families having no girl = 211
Probability ,P(E3)= Numbers of families having 0 girls/Total numbers of families
= 211/1500
P(E3)= 211/1500
Sum of the probabilities= 19/60 + 407/750 + 211/1500
= (475 + 814 + 211)/1500
= 1500/1500 = 1
Yes, the sum of these probabilities is 1.
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(i) Number of families with 2 girls = 475
Total number of families = 150
P(E) =(Number of favourable outcomes)/(Total number of event)
=475/1500
=19/60
(ii) Number of families with 1 girl = 814
P(E) = (Number of favourable outcomes)/(Total number of event)
=814/1500
=407/750
(iii) Number of families with no girl = 211
P(E) = (Number of favourable outcomes)/(Total number of event)
=211/1500