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
Tanzania [10]
3 years ago
13

Three letters are chosen at random from the word POSTER. What is the probability that the selection will contain E or O but not

both? E or O or both?
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

Total number of way to  pick 3 letters is 6C3 = 20.

Step-by-step explanation:

P(E) = 3/6 = 1/2

P(O) = 3/6 = 1/2

The intersection is P(E n O) = P(E)P(O | E)

= 1/2(2/5)

= 1/5

P( E or O but not both) = P(E and not O) + P(O and not E)

(THis step is easier to understand if you shade in a venn diagram for this):

= [ P(E) - P(E n O) ] + [ P(O) - P(O n E) ]

= 1/2 - 1/5 + 1/2 - 1/5

= 1 - 2/5

= 3/5

The P (E or O or both ) is just the union of the two:

P( E U O) = P(E) + P(O) - P(E n O)

= 1/2 + 1/2 - 1/5

= 4/5

You might be interested in
A tuition bill for school states that Brenda owes $438. She wants to pay off her bill in 6 months. Write and solve an inequality
Marta_Voda [28]

Answer:

Step-by-step explanation:

3 0
3 years ago
The function f(x) is represented by this table of values.
Darya [45]
The average slope (s) on the interval [a, b] is given by
  s = (f(b) -f(a))/(b -a)

When there are a lot of computations to do, it is convenient to let a machine do them. The intervals and slopes are ...
  [0, 5] : 5
  [-3, 3] : 0
  [-5, 3] : -2
  [-3, 5] : 2

6 0
3 years ago
If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?​
sattari [20]

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y    where k is a constant

2 = k/3

k = 6.

So z = 6/y

and  x = 6/y + 8

Multiply through by y:

xy = 6 + 8y

xy - 8y = 6

y(x - 8) = 6

y = 6/(x - 8)

5 0
2 years ago
Barak spent $20 at the arcade. This represents 10% of the money he earned by working at the pizza parlor last week. how much mon
Natali5045456 [20]
He earned 200 dollars
7 0
3 years ago
Compare 9/15 and 10/15
choli [55]

Answer: 9/15 < 10/15

Step-by-step explanation: 9/15 < 10/15

6 0
2 years ago
Other questions:
  • Find the slope of the line that passes through points (3,2) and (-2,-2)
    7·1 answer
  • Write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28
    7·1 answer
  • Divide using long division. <br><br> <img src="https://tex.z-dn.net/?f=%284x%5E%7B2%7D%20-5x%2B3%29" id="TexFormula1" title="(4x
    12·2 answers
  • Is 83 cm greater than or less than 1m? What is the difference in the lengths?
    9·1 answer
  • Good evening can I get help please?​
    13·1 answer
  • PLEASE HEEEELPPPP I WILL GIVE BRAINLIEST
    8·1 answer
  • Someone help fast please
    11·2 answers
  • A circle has a diameter with endpoints (1,6) and (-3, -6). Find its area.
    6·1 answer
  • What is this called, like whats the name of this thing??<br> {18 ≤ y ≤ 30}
    11·1 answer
  • What is 3x-12=-15? <br><br> I need to know
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!