What is the probability of randomly choosing a consonant in the letters abcde

a. 2 out of the 6 letters are vowels, so the probability that the first letter chosen will be a vowel is 1/3.

b. same idea as a.

c. since you have three letters without repetition, and only two vowels, the probability is 0.

d. There are 6!/3! (or 6P3) possible strings. Out of those only 4P3 consist of only consonants. So the probability should be 4P3/6P3

In the word ALGEBRA (7 letters) there are 4 consonants, then the probability of selecting first 1 consonant and then another 1 is the product of single probabilities, but, before the second selection, the number of letters is 6 and the number of consonants is 3, then:

1)#p=4/7*3/6=2/7#

2) There are 3 vowels, then if I wish to select first a vowel and then a consonant,

#p=3/7*4/6=2/7#

3) There are 3 vowels and 7 letters at the first selection, but 2 vowels and 6 letters at the second one, then

#p=3/7*2/6=1/7#

Answer link

Related questions

• What is a random event in probability?

• What is the sample space of flipping a coin?

• What is the probability of obtaining a "3" on one roll of a die?

• What is the sample space of rolling a 6-sided die?

• If you draw one card from a deck of cards, what is the probability that it is a heart or a diamond?

• What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?

  answered

  Learning Task #1 Determine the theoretical probability of the following. a. The probability that the number '5' shows up on a dice when rolled.
  
  b. From the letters A, E. I. 0, U, what is the probability of selecting the letter E?
  
  c. What is the probability of randomly choosing a consonant in the letters a. b, c, d,e?
  
  d. You randomly choose a letter from the word EXPLORE. what is the probability of choosing a vowel ?​

  2

  See answers

  The questions posted on the site are solely user generated, Doubtnut has no ownership or control over the nature and content of those questions. Doubtnut is not responsible for any discrepancies concerning the duplicity of content over those questions.

  Solution:

  Given, a letter of English alphabets is chosen at random.

  We have to determine the probability that the letter is a consonant.

  There are 26 English alphabets which consist of 5 vowels and 21 consonants.

  The probability of selecting a letter that is a consonant is given by

  Favourable outcomes = b, c, d, f, g, h , j, k , l, m, n, p, q, r, s, t, v, w, x, y, z

  Number of favourable outcomes = 21

  Number of possible outcomes = 26

  Probability = number of favourable outcomes / number of possible outcomes

  Probability = 21/26

  Therefore, the probability of choosing an alphabet that is a consonant is 21/26.

  ✦ Try This: A letter of English alphabets is chosen at random. Determine the probability that the letter is a vowel.

  ☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

  ---

  NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 33

  A letter of English alphabets is chosen at random. Determine the probability that the letter is a consonant

  Summary:

  A letter of English alphabets is chosen at random. The probability that the letter is a consonant is 21/26

  ---

  ☛ Related Questions:

  • There are 1000 sealed envelopes in a box, 10 of them contain a cash prize of Rs 100 each, 100 of the . . . .
  • Box A contains 25 slips of which 19 are marked Re 1 and other are marked Rs 5 each. Box B contains 5 . . . .
  • A carton of 24 bulbs contain 6 defective bulbs. One bulbs is drawn at random. What is the probabilit . . . .
  

  Answer:

  Total numbers of letters: 26

  Total number of consonants:21

  Hence, the required probabilty is 21/26

  Step-by-step explanation:

  We know the sum of probabilities is equal to one. When choosing a letter from English alphabet at random, there are only two possibilities; either vowel or consonant. Since there are five vowels, the probability of getting a vowel is 526. So the probability of getting consonant is 1−526=2126.

  • di ako magaling kase sa english

  • a e i o u consonant. alphabet letter 26 26-5=21

  Continue Learning about Statistics

  What is the probability of picking a consonant out of a bag filled with each letter of the alphabet?

  The probability is 21/26.

  ---

  What is the probability that the letter chosen is a vowel?

  the answer is 1 out of 26

  ---

  What is the probability of choosing S in the word SCHOOL?

  1/6 if the letter is chosen at random.

  ---

  What is the probability of choosing a letter from the word probability?

  Since the word "probability" contains only letters, then the probability of choosing a letter from the word "probability" is 1, i.e. it is certain to happen.

  ---

  What is the probability of choosing the letter i from the word probability?

  2/11

  Answer

  Verified

  Hint: For finding the probability of getting a consonant, we can use the equation of probability. Since probability is the number of favourable in total number, knowing the number of consonants and total number of letters in the alphabet, we can find the answer.

  Formula used:
  Probability of an event is obtained by dividing the number of favourable outcomes by total number of outcomes.

  Complete step-by-step answer:
  Given that a letter of English alphabet is chosen at random. We have to find the probability that the chosen letter is a consonant.
  Consonants are letters other than vowels in the alphabet.
  In English alphabet we have five vowels which are “a, e, i, o & u”.
  Since there are $26$ letters in total, we get the number of consonants as $26 - 5 = 21$.
  Probability of an event is obtained by dividing the number of favourable outcomes by total number of outcomes.
  So here the probability of getting a consonant is found by dividing the number of consonants by the total number of letters in English alphabet.
  If $C$ is the event of getting consonant we have,
  $P(C) = \dfrac{{21}}{{26}}$
  $\therefore $ The probability that the chosen letter is consonant is $\dfrac{{21}}{{26}}$.

  Note: We can also solve the problem in another way. We know the sum of probabilities is equal to one. When choosing a letter from English alphabet at random, there are only two possibilities; either vowel or consonant. Since there are five vowels, the probability of getting a vowel is $\dfrac{5}{{26}}$. So the probability of getting consonant is $1 - \dfrac{5}{{26}} = \dfrac{{21}}{{26}}$.

  What is the probability of randomly choosing a vowel from the letters A B C D and E?

  Detailed Solution. ∴ The probability of choosing a vowel from English alphabet is 5/26.

  What is the probability of randomly drawing a consonant?

  19 or 19% chance of choosing a vowel whereas there is a . 81 or 81% chance of choosing a consonant.

  What is the probability that you will pick a consonant?

  Since there are three consonants, the probability of picking a consonant is 3/5. Note there is another way to calculate this. Since the only way a letter can be a consonant is if it is not a vowel, we could calculuate this as the probability of not getting a vowel. The probability of not getting a vowel is 1-2/5=3/5.

  What is the probability that alphabet chosen from the word random is a vowel?

  So the possibilities of choosing vowel are 5, whereas total possibilities(choosing any random letter) would be 26. Hence, the probability of choosing a vowel from English Alphabet is 5/26.