Question

there are 3 boys and 3 girls a group of 2 is to be from what is number of sample point​

Answer 1

Answer:

Sample space is 16. Its sample space not sample point.

Answer 2

Sample points are merely the total possible outcomes of executing a particular event. Or we can say that the particular event is formed by collecting all these sample points in a set, and this set so formed is called sample space.

So we are given that there are 3 boys and 3 girls, and that a group of 2 children is made from them. We're instructed to find the total no. of such possible makings of the group.

It's just a simple thing. Since there are 3 boys and 3 girls, there are a total of 6 children, and a group of 2 children is made from these 6 ones in 6C2 = 15 ways, which is the answer!

Hence the no. of sample points is 15. Well, let me form the sample space. Taking the boys as B1, B2, B3 and girls as G1, G2, G3,

S = {(B1, B2), (B1, B3), (B1, G1), (B1, G2), (B1, G3), (B2, B3), (B2, G1), (B2, G2), (B2, G3), (B3, G1), (B3, G2), (B3, G3), (G1, G2), (G1, G3), (G2, G3)}

where the pairs are not strictly ordered, means (x, y) are (y, x) are same in S.

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