In a lottery 10,000 tickets are sold and ten equal prizes are awarded,. What is the probability of not getting a prove if you buy i. 1 ticket ii. two tickets iii. 10 tickets.

Explanation

(a) one ticket

p( not getting) = `(.^999C_10)/(.^10000C_10`

`= 9990/10000= 999/1000`

(b) 2 tickets

p( not getting) =`(.^9998C_10)/(.^10000C_10)`

`= (9990*9989)/(10000*9999)`

(c) 10 tockets

p(not getting) = `(.^9990C_10)/(.^10000C_10)`

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