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
Alenkinab [10]
3 years ago
10

Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost

for each red chip drawn. What is the expected value for each round if there are two draws per round and the chips are replaced after each draw?
Mathematics
2 answers:
Romashka [77]3 years ago
4 0
The answer is 0.4.

The values are:
- for the black chip : x₁ = 2
- for the red chip: x₂ = -1

Let's first calculate the possibilities of each chip. There are in total 5 chips (<span>two black chips and three red chips) in the bag
 </span>- the possibility to draw the black chip is 2 out of 5:    P₁ = 2/5
 - the possibility to draw the red chip is 3 out of 5:       P₂ = 3/5

In this example we have 4 different events:
1. Drawing of two black chips: P₃ = P₁ · P₁ = 2/5 · 2/5 = 4/25
2. Drawing of one black chip and then one red chip: P₄ = P₁ · P₂ = 2/5 · 3/5 = 6/25
3. Drawing of one red chip and then one black chip: P₅ = P₂ · P₁ = 3/5 · 2/5 = 6/25
5. Drawing of two black chips: P₆ = P₂ · P₂ = 3/5 <span>· 3/5 = 9/25
</span>

Therefore, <span>the expected value for each round if there are two draws per round and the chips are replaced after each draw is 0.4:
P = (x</span>₁ + x₁) · P₃ + (x₁ + x₂) · P₄ + (x₁ + x₂) · P₅ + (x₂ + x₂) · P₆
P = (2+2) · 4/25 + (2-1) · 6/25 + (2-1) · 6/25 + (-1 + -1) · 9/25
P = 4 · 4/25 + 1 · 6/25 + 1 · <span>6/25</span> + -2 · <span>9/25
P = 16/25 + 6/25 + 6/25 - 18/25
P = 28/25 - 18/25
P = 10/25 = 0.4</span>
Ad libitum [116K]3 years ago
4 0

Answer:

0.4 is correct

Step-by-step explanation:

You might be interested in
A triangle with sides lengths of 17, 21, and 10. is this a right triangle?
USPshnik [31]
Use Pythagorean thrm
17^2+10^2=21^2
289+100=441
389≠441
This is not a right triangle
3 0
3 years ago
Danielle needs to walk 2.5 miles. If she wants to reach her destination in 30 minutes (1/2hour), how fast does she need to walk?
shepuryov [24]
5 mph to get that answer you use the speed equation
speed(mph)=distance(in miles)/time(in hours)
2.5
------ = 5 mph
.5
3 0
3 years ago
What are the answers?
algol13

Answer:

since output value is paried with input value teh relationship IS a function

Step-by-step explanation:

6 0
3 years ago
Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular s
vitfil [10]

Answer: C) 4

Step-by-step explanation:

5 0
2 years ago
What is the value of the 24th term is the fourth term is 6 and the eighth term is 8
Alina [70]

The value of the 24th term is 16.

<h3>Arithmetic progression:</h3>
  • aₙ = a + (n -  1)d

where

a = first term

d = common difference

n = number of terms

Therefore,

6 = a + 3d

8 = a + 7d

let's find a and d

2 = 4d

d = 2 / 4

d = 1 / 2

6 = a + 3 / 2

a = 6 - 3 /2

a = 4.5

Therefore, the 24th term can be found as follows;

24th term = 4.5 + 23(0.5)

24th term = 4.5 + 11.5

24th term = 16

learn more on arithmetic progression here; brainly.com/question/9882454

4 0
2 years ago
Other questions:
  • Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde
    8·1 answer
  • What is the equation of the circle with center (5,-4) and radius 4
    11·1 answer
  • ..........plzz be fast
    8·1 answer
  • For his mobile phone service, John pays a monthly fee of $40 plus $15 for each 1 GB of data (rounded up) over his 8 GB of data t
    6·1 answer
  • Y = 2x + 4<br> y = 3x +2<br> Graph and give me the points of this linear equation
    8·1 answer
  • 7. What is the simplified form of the expression 6 - 2w - w ?
    12·2 answers
  • Equivalent fractions for 4 1/3-2 3/5 with common denominators
    6·1 answer
  • The area of this trapezoid is what?
    12·2 answers
  • What is the slope of the line shown below?
    8·1 answer
  • hello everyone I'm stuck on these last 2 questions pleaseeee help me&lt;3 ill do anything to have these 2 done asap just let me
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!