Chapter 5.1, Problem 28E

To determine

To design and carry out a simulation to answer and explain should she be.

Answer to Problem 28E

The result is that $4\text{ or all }5$ simulations have a number in common.

Explanation of Solution

Use two-digit numbers.

Let the numbers $\text{01 to 49}$ represent the corresponding number for the ticket.

Ignore the numbers between $\text{50 and 99}$ , and the number $\text{00}$ .

Draw six numbers that are between $\text{01 and 49}$ randomly, with not repeated numbers.

Repeat this simulation six times and count the number of simulations (excluding the first simulation) have a number in common with the first simulation.

You will most likely obtain a result that $4\text{ or all }5$ simulations have a number in common.