Suppose a pick-5 lottery is played as follows. Each ticket (panel) has two sets of numbers.
The top half of the panel has numbers 1 through 40.
You must choose 4 distinct numbers out of these, called the White Balls.
The bottome half has numbers 1 through 20.
You must choose 1 number out of these, called the Power-Ball.
Compute each of the following. Show the combinatorial derivation. Show each probabilty in
the form 1=x where x is the nearest integer.

Question

Suppose a pick-5 lottery is played as follows. Each ticket (panel) has two sets of numbers.
 The top half of the panel has numbers 1 through 40.
You must choose 4 distinct numbers out of these, called the White Balls.
 The bottome half has numbers 1 through 20.
You must choose 1 number out of these, called the Power-Ball.
Compute each of the following. Show the combinatorial derivation. Show each probabilty in
the form 1=x where x is the nearest integer.

anonymous · Answer

(a) Total number of distinct ways to play a ticket.
(b) Probability of winning the Jackpot. (Match all 4 White Balls, and the Power Ball.)
(c) Probability of matching 3 of the White Ball, and the Power Ball.
(d) Probability of matching 3 of the White Balls only

any one quick please 
hv exam in few mins!!

anonymous · Answer

@jim_thompson5910 and @phi any ideas guys ?

jim_thompson5910 · Answer

hmm sorry, I'd have to give it more thought and I wish I had more time (instead of a few mins)

jim_thompson5910 · Answer

for a) it sounds like it would be

(40 C 4)*20 = 91390*20 = 1,827,800

but not 100% sure

anonymous · Answer

hv 30 mins :(