Question

Scrabble Refer to Exercise $20$. About $3\%$ of the time, the first player in Scrabble can “bingo” by playing all $7$ tiles on the first turn. How many games

of Scrabble would you expect to have to play, on average, for this to happen? Design and carry out a simulation to answer this question. Follow the four step

process.

Short answer

The outcome will range from $1$ to$30$

Step-by-step solution

Step 1. Given Information 

For each ticket, a player selects six numbers from $1$to $49$The winning numbers can be represented by two-digit numbers ranging from $1$to $49$in the simulation. Assume the numbers selected are $33,09,11,18,16$and $45$

Step 2. Concept Used 

We can't foresee the outcomes of a chance process, yet they have a regular distribution over a large number of repetitions. According to the law of large numbers, the fraction of times a specific event occurs in numerous repetitions approaches a single number. The likelihood of a chance outcome is its long-run relative frequency. A probability is a number between $0$ (never happens) and $1$ (happens frequently) (always occurs).

Step 3. Explanation   

Use two-digit numbers instead of three-digit numbers. The numerals $00$to $02$should stand for "bingo." No "bingo" should be represented by the numbers to $99$Count how many two-digit numbers you'll need till you get "bingo." Rep this simulation as many times as you like. Until you get the first "bingo," you'll most likely get a result of $1$ to $30$ needed numbers.