Q 26. Scrabble Refer to Exercise 20. A... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 5: Q 26. (page 297)

Scrabble Refer to Exercise $20$ . About $3 %$ of the time, the first player in Scrabble can 鈥渂ingo鈥� 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

Expert verified

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.