There are 3 boys and 3 girls. A group of 2 is to be formed. What is the number of sample point?
ANS:. n(s)=15
Answers
The no. of sample points are 15.
Step-by-step explanation:
Sample Point: This is basically the total no. of possible outcomes in a particular event.
Here we have 3 boys and 3 girls and we have to form a group of 2.
So, we have
Total no. of children = 6
∴ No. of possible combinations or outcomes that can be formed of a group of 2 is,
= ⁶C₂
= [6!] / [(6-2)! * 2!] ……. [Formula: nCr = n! / [(n-r)!*r!]]
= [6!] / [4! * 2!]
= [6*5*4!] / [4! * 2!]
= 3*5
= 15
Thus, the no. of sample points is 15, which can be shown as follows:
Let the 3 boys be denoted as “B1”, “B2” & “B3” and the 3 girls be denoted as “G1”, “G2” and “G3”.
The sample space, S = {(B1, B2), (B1, B3), (B2, B3), (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), (B2, G3), (B3, G1), (B3, G2), (B3, G3), (G1, G2), (G2, G3), (G1, G3)}
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