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 tak
e 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
<em>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 </em>
Explanation:
The word is not probably, which has 8 letters, but probability, which has 11 letters
<u>1. Hal</u>
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
<u>2. Renee</u>
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
<h2>Conclusion</h2>
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.
