Ten face-down cards spell the word "phonograph" one of Thomas Edison's most famous inventions. If you draw one what is the chance of drawing a. a vowel?
b. a letter of the alphabet?
3 vowels of 10 cards means p(vowel) = 3/10
since all cards have a letter of the alphabet, p(letter)=1
3
To determine the chance of drawing a vowel or a letter of the alphabet from the face-down cards that spell the word "phonograph," we need to consider the number of vowels and the total number of letters in the word.
a. To find the chance of drawing a vowel, we first need to identify the number of vowels in the word "phonograph." The vowels in this word are 'o', 'a', and 'o' (counted twice). So, there are 4 vowels in total.
Now let's consider the total number of cards. Since there are ten face-down cards, the chances will be calculated out of these ten cards.
To find the probability of drawing a vowel, we divide the number of vowels (4) by the total number of cards (10):
probability of drawing a vowel = number of vowels / total number of cards
= 4/10
= 2/5
Therefore, the chance of drawing a vowel from the face-down cards that spell the word "phonograph" is 2/5 or 40%.
b. To find the chance of drawing a letter of the alphabet, we need to consider all the letters in the word "phonograph." The letters in this word are 'p', 'h', 'o', 'n', 'o', 'g', 'r', 'a', 'p', and 'h' (counted twice).
So, there are 9 letters (excluding duplicates) in total.
To calculate the probability of drawing a letter of the alphabet, we divide the number of letters (9) by the total number of cards (10):
probability of drawing a letter of the alphabet = number of letters / total number of cards
= 9/10
Therefore, the chance of drawing a letter of the alphabet from the face-down cards that spell the word "phonograph" is 9/10 or 90%.