Question

Scrabble In the game of Scrabble, each player begins by drawing $7$tiles from a bag containing $100$tiles. There are $42$vowels, $56$consonants, and $2$blank tiles in the bag. Cait chooses her $7$ tiles and is surprised to discover that all of them are vowels. Should we use a binomial distribution to approximate this probability? Justify your answer.

Short answer

The probability could not be approximated using the binomial distribution.

Step-by-step solution

Given Information

The number of tiles chosen$=7$

The number of vowels count $=42$

The number of Consonant Count $=56$

The total number of blank tiles $=2$

According to question

The chances of success aren't predetermined in this case, and the trials are interdependent. Furthermore, for the binomial distribution, the probability of success for each trial must be specified. The trials must also be separate from one another.

As a result, the binomial distribution was unable to estimate the probability.