Question

What is the probability of picking 6 numbers out of 44 numbers and getting…..

a) 6 out of 6 correct?

b) 5 out of 6 correct?

c) 4 out of 6 correct?

d) 3 out of 6 correct

plesse show your work and give full explaination how did you get it.

and give answer in number

Answer 1

Answer:

Given,

n = 44

a)

6 out of 6 correct

Required probability = 6C6 / 44C6

[here nCr = n! / r!*(n-r)!]

= 1 / 7059052

Required probability = 1 / 7059052

b)

5 out of 6 correct

Probability = 6C5 * 39C1 / 44C6

= 6*39 / 7059052

= 234 / 7059052

Required probability = 234/7059052

c)

4 out of 6 correct

Now probability of getting = 6C4 * 40C2 / 44C6

= 15*780 / 7059052

= 11700 / 7059052

Required probability = 11700 / 7059052

d)

3 out of 6 correct

Probability = 6C3 * 41C3 / 44C6

= 20*10660 / 7059052

= 213200 / 7059052

Required probability = 213200 / 7059052