Each capital letter of the alphabet is carefully printed on a piece of paper in block-form and placed in a bowl
ABCDEFGHIJKLMNOPQRSTUVWXYZ
An individual piece of paper is selected from the bowl. What is the probability that
A. the letter is a consonant?
B. the letter is formed from straight-line segments only?
C. the letter has an enclosed region in its representation?
Is Y a vowel?
After you decide that, then Pr=(chances it can be)/total possibiliites
There are 5 vowels in the alphabet, 6 if you count the "y". Oxford dictionary says it could be either.
so a) prob (consonant) = 21/26 or 20/26
do the others the same way, count the number of letters that obey the condition stated, and divide it by 26
It doesn't state if Y is part of the vowel.
Then I would assume that it is not.
I am stuck and do not know how to do this question. Consider the experiments involving rolling a single die once. Give the probabilities of the event described.
what is P(even or prime)?
the probability for any side coming up is 1/6
How many ways can you get a Prime number?
1,2,3,5
How many results can you throw:
1,2,3,4,5,6
Pr(prime)=4ways/6possibilies=2/3
To determine the probability for each case, we first need to count the number of letters that satisfy the given condition, and then divide that number by the total number of letters in the alphabet.
A. Probability that the letter is a consonant:
Consonants are any letters except for vowels (A, E, I, O, U). There are 21 consonants in the alphabet, so the probability that the letter selected is a consonant is 21/26.
B. Probability that the letter is formed from straight-line segments only:
The letters that can be formed using only straight-line segments are A, E, F, H, I, K, L, M, N, T, V, W, X, and Z. There are 14 such letters, so the probability that the letter selected is formed from straight-line segments only is 14/26.
C. Probability that the letter has an enclosed region in its representation:
The letters with enclosed regions are B, D, O, P, Q, and R. There are 6 letters with enclosed regions, so the probability that the letter selected has an enclosed region in its representation is 6/26.
Let’s summarize the probabilities:
A. Probability of selecting a consonant: 21/26
B. Probability of selecting a letter formed from straight-line segments only: 14/26
C. Probability of selecting a letter with an enclosed region in its representation: 6/26