## Hal and Renee play the following game a bag has 11 tiles in it each with a letter from the word probably in it Hal and Renee take turns draw

Question

Hal and Renee play the following game a bag has 11 tiles in it each with a letter from the word probably in it Hal and Renee take turns drawing a tile recording the first letter and placing the tile back in the bag Hal earns a point if he draws a vowel. Renee earns a point if she draws a consonant they decide that the letter y can be a vowel or consonant which statement best explains whether the game is fair or not.
A the game is not fair because Hal and rene have the same probability of drawing winning letters.

B the game is fair because both Hal and Renee will get a point if a y is drawn

C the game is not fair because the probability of hal drawing a a winning letter is greater then the probability of Renee drawing a winning letter

D the game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter

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3 weeks 2021-09-08T18:54:57+00:00 1 Answer 0

• D. The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter

Explanation:

The word is not probably, which has 8 letters, but probability, which has 11 letters

1. Hal

Probability of drawing a vowel

• The vowels are:  o, a, i, i, and y: 5
• The total number of letters in the bag is 11.
• Probability of vowel = 5 / 11

2. Renee

Probability of drawing a consonant

• The consonants are: p, r, b, b, l, t, and y: 7
• Probability of a drawing a consonant: 7 /11

## Conclusion

As you see, the probability of drawing a vowel (5/11), which is the winning letter for Hal, is less than the probability of drawing a consonant (7/11), which is the winning letter of Renee. Then,

• The game is not fair because the probability of Hal drawing a winning letter is less then the probability of Renee drawing a winning letter.