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Answer:
first part
second
POINTS TO NOTICE:-
- IN QUESTIONS RELATED TO SOLVING PROBLEMS ON PROBABILITY
- ALWAYS TAKE THE SUM OF TOTAL OF THE OUTCOME OF THE QUESTION
- NOW SELECT THAT PART FROM THE QUESTION THAT HAS TO BE ANSWERED
- ALWAYS USE PRIMARY FORMULA NO. OF OUTCOME/ TOTAL NO. OF OUTCOME
--------☆☆ EXTRA BRAINLY KNOWLEDGE☆☆---------
• Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true.
• Probability is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility and 1 indicates certainty.
• Probability of a no. is written as no. of OUTCOMES
total no. of OUTCOMES
• for an no. in the form of not an event the probability( not event ) = 1 - probability ( event )
• Theoretical Probability
It is based on the possible chances of something to happen.
• Experimental Probability
It is based on the basis of the observations of an experiment.
• Axiomatic Probability
In axiomatic probability, a set of rules or axioms are set which applies to all types.
GIVEN:-
SOME FAMILIES WITH 2 CHILDREN ARE SURVEYED
NO. OF FAMILIES |NO. OF FAMILIES
WITH GIRLS |
0 | 184
1 | 714
2 | 425
TO FIND:-
IF FAMILIES ARE CHOSEN AT RANDOM
1. EXACTLY ONE GIRL
2. EXACTLY 2 GIRLS
SOLUTION:-
AS YOU SEE,
FOR PART 1
NO. OF FAMILIES WITH EXACT 1 GIRL ARE 714
AND ALSO AS PER POINTS ABOVE ,
TOTAL NO. OF FAMILIES = 184 + 714 + 425
TOTAL NO. OF FAMILIES = 1323
SO PROBABILITY = 714 / 1323
FOR PART 2
NO. OF FAMILIES WITH EXACT 0 GIRL ARE 184