Justin writes the letters I-L-L-I-N-O-I-S on cards and then places the cards in a hat. What is the probability of picking an L?
1/8 1/4 1/6 2/7
What is the probability of picking a vowel?
1/3 1/2 1/4 4/7
L's -- 2/8 (and when you simplify that, what do you get?)
vowels -- 4/8 (and when you simplify ... ?)
THank YOu
You're welcome.
To find the probability of picking an L, we need to first determine the total number of cards in the hat and then count the number of cards with the letter L.
Step 1: Find the total number of cards
Justin writes the letters I-L-L-I-N-O-I-S on the cards. So the total number of cards would be the same as the number of letters in the word "ILLINOIS," which is 8.
Step 2: Count the number of L's
The word "ILLINOIS" has only one letter L. Therefore, the number of L's on the cards is 1.
Step 3: Calculate the probability
The probability of picking an L is given by the number of cards with L divided by the total number of cards:
Probability of picking an L = Number of L's / Total number of cards
Probability of picking an L = 1 / 8
So the probability of picking an L is 1/8.
Now, let's find the probability of picking a vowel using a similar approach.
Step 1: Find the total number of cards
Justin wrote the letters I-L-L-I-N-O-I-S on the cards. Among these letters, I, O, and I are vowels. So there are 3 vowels in total.
Step 2: Count the number of vowels
The word "ILLINOIS" has 3 vowels (I, O, and I).
Step 3: Calculate the probability
The probability of picking a vowel is given by the number of vowel cards divided by the total number of cards:
Probability of picking a vowel = Number of vowels / Total number of cards
Probability of picking a vowel = 3 / 8
So the probability of picking a vowel is 3/8.
Therefore, the correct answers are:
The probability of picking an L: 1/8
The probability of picking a vowel: 3/8