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
ch4aika [34]
3 years ago
9

Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 11

of the 54 boxes on the shelf have the secret decoder ring. The other 43 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

The probability that BOTH of them have the secret decoder ring is \frac{55}{1431}.

Step-by-step explanation:

From the given information it is clear that the total number of boxes is 54.

Total number of boxes that have the secret decoder ring = 11

Total number of boxes that have a different gift inside = 43

Total number of ways to select 2 boxes from the boxes that have the secret decoder ring is

\text{Favorable outcomes}=^{11}C_2=\frac{11!}{2!(11-2)!}=\frac{11\times 10\times 9!}{2!9!}=55

Total number of ways to select 2 boxes from the total number of boxes is

\text{Total outcomes}=^{54}C_2=\frac{52!}{2!(52-2)!}=\frac{52\times 51\times 50!}{2!50!}=1431

The probability that BOTH of them have the secret decoder ring is

P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

P=\frac{55}{1431}

Therefore the probability that BOTH of them have the secret decoder ring is \frac{55}{1431}.

You might be interested in
Raymond wants to make a box that has a volume of 360 cubic inches. He wants the height to be 10 inches and the other two dimensi
Sauron [17]
It depends on what the units are measured
8 0
3 years ago
Read 2 more answers
Please help me please !!!
Anon25 [30]

3rd - 25 is the 3rd term in the sequence

4 0
3 years ago
You have a coupon for a restaurant that is 25% off. You save $3 on a meal. What was the original cost of the meal?
UkoKoshka [18]
The origonal cost of the meal is $12 dollars
8 0
3 years ago
Read 2 more answers
State the property or properties of logarithms used to rewrite the expression.
Korvikt [17]

Answer:

The answer is option A.

<h3>Power Property and Product </h3><h3>Property</h3>

Hope this helps you

6 0
3 years ago
In what time will sum of money double itself at 5% per annum?​
klemol [59]

Step-by-step explanation:

Mr.Josol : what will be the height of the ball after 2 seconds?

8 0
3 years ago
Other questions:
  • Please help <br> I will mark brainliest<br> AOD is 62 degrees btw
    7·1 answer
  • (15 points)
    14·1 answer
  • "A small town that encompasses 12 square miles has 3,000 residents. What is the population density of the small town in people p
    9·2 answers
  • Triangle ABC has a perimeter of 22cm I WILL MARK YOU AS BRAINLIEST
    13·1 answer
  • If there are 146.8 million people in the labor force in a particular town, and the number of people who are unemployed is 8.2 mi
    6·1 answer
  • PLS HELP ITS TIMED
    13·1 answer
  • Provide two examples of real world combinations, one in which repetition isn't allowed and one in which repetition is.
    12·1 answer
  • 7) 4 TENS + 7 ONES +<br>9 TENTHS<br>How many?​
    14·1 answer
  • Saving and Spending In this open response, you will be managing a checkbook and savings account.
    15·1 answer
  • Water flows through a pipe at a rate of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!