Justin writes the letters I-L-L-I-N-O-I-S on cards and then places them in a hat. What is the probability of picking a vowel?
1/2
1/3
1/4
4/7
My answer: 1/2
Yep.
Your the best Ms.Sue! :)
To determine the probability of picking a vowel, we need to count the number of vowels in the given set of letters and divide it by the total number of letters.
In the letters I-L-L-I-N-O-I-S, there are 4 vowels (I, I, O, I) and a total of 8 letters.
Therefore, the probability of picking a vowel is 4/8, which simplifies to 1/2.
So, your answer of 1/2 is correct.
To determine the probability of picking a vowel, we need to know the total number of cards and the number of cards that are vowels. Let's break it down step by step:
Step 1: Count the total number of cards.
Justin writes the letters I-L-L-I-N-O-I-S on the cards. In total, there are 9 letters. Therefore, there are 9 cards in the hat.
Step 2: Count the number of cards that are vowels.
In the word "ILLINOIS," there are 4 vowels: I, I, O, and I.
Step 3: Calculate the probability.
The probability is the number of favorable outcomes (vowels) divided by the number of total outcomes (cards). In this case, the favorable outcome is picking a vowel, and it is 4. The total number of outcomes (cards) is 9. Therefore, the probability is 4/9.
However, none of the given options match the calculated probability. So, based on the information provided, none of the given options are correct. Keep in mind that this assumes all the cards have an equal chance of being picked and that every card is distinct, meaning that having multiple cards with the same letter does not affect the probability.