Question

In the daily Play 4, players select a number between 0000 and 9999. The lottery machine

contains 4 bins, each with 10 ping-pong balls. Each bin has its ping-pong balls labeled

0, 1, 2, . . . , 9. The state then “randomly” selects a ball from each bin and forms a number

between 0000 and 9999. WHAT IS THE PROBABLITIY OF WINNING PLEASE TYPE

Answer 1

There are 4 bins.

Note that a 4 digit number is formed if we select one ball from each bin.

The number selected from the first bin forms the thousands place of the four digit number.

The number selected from the second bin forms the hundered's place of the four digit number.

The number selected from the third bin forms the ten's place of the four digit number.

The number selected from the fourth bin forms the one's place of the four digit number.

Now there are 10 balls in each bin numbers 1,2,3...,10.

Total number of possible outcomes from the first bin =10.

Total number of possible outcomes from the second bin =10.

Total number of possible outcomes from the third bin =10.

Total number of possible outcomes from the fourth bin =10.

That means total number of permutaions formed by these numbered balls from the bin

= 10 x 10x 10x 10

=10000

That means total number of possible outcomes =10000

A winning lottery ticket number is the one among the possible 10000 numbers.

Therefore the total number of desirable outputs =1  

Therefore,