1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
taurus [48]
1 year ago
5

Find the probability of picking 4 consonant and 1 vowels when 5 letters are picked (without replacement) from a set of alphabet

tiles
Mathematics
1 answer:
Ganezh [65]1 year ago
5 0

The required probability is 0.45

We have total 26 letters in english, of which 21 are consonants and 5 are vowels.

According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.

Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.

So the probability is 5/26

Now, a letter has been selected, so in the set, we have 25 letters left.

In the next 4 selections, we must select consonants.

In the second selection the probability is 21/25

In the third selection the probability is 20/24

In the fourth selection the probability is 19/23

In the last selection the probability is 18/22

So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)

Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,

P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45

Learn more about probability here :

brainly.com/question/251701

#SPJ10

You might be interested in
6x^2-66x+144=0 solving quadratic equation
madam [21]

Factor out the common term 6

6(x^2 - 11x + 24) = 0

Factor x^2 - 11x + 24

6(x - 8)(x - 3) = 0

Solve for x;

<u>x = 8,3</u>

6 0
3 years ago
Giving thanks and brainliest for best answer &lt;3<br> ::
satela [25.4K]
I can help if I see the problem
7 0
3 years ago
Read 2 more answers
Ramon paid $3.25 for notepads and $1.80 for markers. what is the total number of items he bought?
evablogger [386]

Answer:

5.05

Step-by-step explanation:

3.25+1.80=5.05

4 0
3 years ago
Read 2 more answers
Pls Answer this right away! PLS
LenaWriter [7]
The results of the experiment are shown in the frequency side
a) 14
b) 3600 Best guess 300*12
8 0
3 years ago
Solve for B in the proportion below
iogann1982 [59]

Answer:

b=15

Step-by-step explanation:

7(b+1)=2*56 (we cross multiply)

7b+7=112

7b=105

b=15

7 0
2 years ago
Other questions:
  • Can I get some help with these? Please show you're work!
    5·1 answer
  • If the weight of a package is 3/10 the result is 7.2 pounds. find the weight of the package
    14·1 answer
  • What is the awnser to 3 (4x12
    10·2 answers
  • Two integers a and b have different signs. The absolute value of integer a is divisible by the absolute value of integer b. Find
    14·1 answer
  • if I have 130 assignments and do 2 assignments per day 7 days a week, how soon could I finish all the assignments?
    7·1 answer
  • Y is 5 less than the product of 4 and x
    5·1 answer
  • I have some extra pts so here we go!!
    8·2 answers
  • Independant and dependant varables in each relatrionship
    15·1 answer
  • What is the common denominator for 2/10 and 1/8?
    15·2 answers
  • What percent of the bottle of apple juice is water
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!