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
ikadub [295]
3 years ago
9

There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

lls and 4blue balls. Now randomly pick up one ball from the two boxes, and the selected ball is red. What is the probability that this red ball is from box A
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

Probability of a red ball:

3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

P(A) = 0.3*0.5 + 0.6*0.5 = 0.45

Probability of a red ball from box A:

0.3 of 0.5, so:

P(A \cap B) = 0.3*0.5 = 0.15

What is the probability that this red ball is from box A?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333

0.3333 = 33.33% probability that this red ball is from box A.

You might be interested in
What is 16% of 90 helpppp plssss
Lunna [17]

Answer:

first off, welcome to brainly, second, your answer is 14.4

Step-by-step explanation:

5 0
3 years ago
Solving Inequalities
Zepler [3.9K]

Answer:

n > 10

n < 9

Interval notation:

(-∞, 9) U (10, ∞)

Step-by-step explanation:

2n + 7 > 27 or 3 + 3n < 30

     -7     -7      -3             -3

2n > 20                 3n < 27

÷2    ÷2                ÷3     ÷3

n > 10                      n < 9

<---------            ----------->

<---------0--------0--------->

           9         10

I hope this helps!

6 0
1 year ago
Read 2 more answers
Chealsea wants to rearrange her room
Llana [10]

Answer:

Good for her.

3 0
2 years ago
Read 2 more answers
How much interest is included in the future value of an ordinary simple annuity of $1500 paid every six months at 7% compounded
crimeas [40]
Gdhdbdndhxidndndndndnd
7 0
3 years ago
Carl delivers papers for spending money. He gets $10
postnew [5]

Answer:30 papers

Step-by-step explanation:

if he works one day that means he makes $10 , which leaves $15 , divide $15 by $0.50.

that gives you 30 papers

5 0
3 years ago
Other questions:
  • The 8 students in Mrs. Clark's dass were asked how many minutes it takes them to get to school in the morning. Here is what they
    8·1 answer
  • Help me plzzzzzzzzzz
    13·2 answers
  • If LN=12x+16 what is the length of LN in units
    13·1 answer
  • Solve E = mc2 for c. A) c = E m B) c = m E C) c = + m E D) c = + E m
    8·2 answers
  • X-12y=-210 and x-6=90
    14·1 answer
  • Someone help!!!!!!!!
    15·1 answer
  • Which situation is best represented by the inequality below? 30x + 100 &gt; 25x + 150
    8·2 answers
  • A movie theater manager of a small theater sells two sizes of popcorn at the concession stand. A jumbo popcorn has a profit of $
    11·1 answer
  • 1/4(16p+8) ÷ 2(p+2)<br>someone help​
    12·1 answer
  • Find the distance between the points.<br> (1, 6, 3), (-5, 3, 7)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!