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
A line with a slope of 9/7 passes through the point (7, 14).What is its equation in slope -intercept form?
ad-work [718]

Answer:

y=9/7x+5

Explanation:

We have the slope, and a point that is not an intercept. We can use Desmos graphing calculator to test y-intercepts.

6 0
2 years ago
How do I <br> evaluate 32-4x3
yawa3891 [41]

Answer:

20

Step-by-step explanation:

Evaluate is just simplifying so

4 times 3 is 12 times the negative makes it -12

then add 32 and -12 together

and you get 20

8 0
3 years ago
Read 2 more answers
What is the vertex of the graph of the function y=-2x^2+16x-15
andrey2020 [161]
<u>X - Vertex</u>
Vertex = -\frac{b}{2a} \\Vertex = -\frac{16}{2(-2)} \\Vertex = -\frac{16}{-4} \\Vertex = 4

<u>Y - Vertex</u>
y = -2x^{2} + 16x - 15 \\y = -2(4)^{2} + 16(4) - 15 \\y = -2(16) + 64 - 15 \\y = -32 + 64 - 15 \\y = 32 - 15 \\y = 17

Vertex:(4, 17)
8 0
3 years ago
What is 1/7 As a decimal?<br><br> Give your answer rounded to 2 decimal places.
PIT_PIT [208]

Answer:

0.14

Step-by-step explanation:

1/7 = 0.1428571429.......

round to two decimal places so se look at the 4 which is the second decimal place, and then we see that the number to the right of it is less than 5 and therefore we round down to 4 and not 5.

:) hope this helps, please mark as brainliest!

4 0
2 years ago
Determine whether the relation is a function. <br> {(-4, 1), (0, 0), (4, 0), (0, 4)}
olga nikolaevna [1]

Answer:

It isn't

Step-by-step explanation:

An x can't have to y's

way to remember: x=exes y=wives

you can have multiple exes (x's) but only one wife (y's)

0 has two y's

6 0
3 years ago
Read 2 more answers
Other questions:
  • A baker uses food coloring to color cake batter he needs 4 1/8 ounces of green food coloring the baker only has 2 3/8 ounces how
    5·1 answer
  • Picture shown there <br> .............
    12·1 answer
  • There are 144 leaves on a tree outside of school. Each week the tree loses 8 leaves. How many leaves will be remaining on the tr
    15·1 answer
  • What is the prime factorization of 75?
    11·1 answer
  • Find the percent change from the first value to the second.<br><br> 40; 70
    14·2 answers
  • Ron is planning for the back-to-school rush at his store. Last year he estimated that he would need 168 notebooks, but he sold 2
    11·2 answers
  • How do you calculate this?
    14·1 answer
  • Please help! I need it now!
    10·2 answers
  • A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
    7·1 answer
  • Hello! I'm new to this amazing experience and would like to have some friend's or people to show me what to do here!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!