I need help with this difficult statistics problem.

Question

In the state lottery, a player can buy a ticket that displays exactly 6 two-digit numbers having values in the range from 01 to 60. In a twice-a-week drawing, 6 numbered ping-pong balls are drawn at random from a hopper, and a ticket whose numbers match all 6 balls wins the jackpot. 

 

A high-school statistics student wishes to test whether the lottery drawings are fair. For every drawing during a year, she records the six winning numbers. At the end of the year (after 104 drawings) she plots all the winning numbers with a histogram using the classes 01-10, 11-20, 21-30, 31-40, and 51-60.

 

If the lottery is fair, what shape of histogram will she get?

Answer 1

For the drawings to be "fair," all numbers must have an equal probability of being selected.

The histogram would be "flat" or "uniform."