Captain Jessica has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability 4/9 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability 1/4 .If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answers
Answer: Probability that both the pirate and the Captain hit each other's ships is
Step-by-step explanation:
since we have given that
Probability that the captain hits the pirate ship is given by
Probability that the pirate hits the Captains's ship is given by
So, we have to find the "Probability that both the pirate and the Captain hit each other's ship" is given by
Hence, probability that both the pirate and the Captain hit each other's ships is
The probability that both the pirate and the Captain hit each other's ships is . This can be calculated by calculating the joint probability of both events.
What is joint probability?
A joint probability is a probability that two events will occur together and at the same time. Simply it is the probability that A occurs at the same time when B occurs. It can be calculated as:
, where P(A and B) is the joint probability of A and B occurring together, P(A) is the probability of A, and P(B) is the probability of B.
Given:
The probability of Captain hitting the pirate ship is
The probability of pirate hitting the Captain's ship is .
Therefore the joint probability will be:
Learn more about Joint probability here:
Related Questions
One of the last questions for today and for 20 points!
In his free time, Gary spends 11 hours per week on the Internet and 11 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?63%4%44%24%
It takes 1.5 hours for jayson to mow a lawn. Linda can mow the same lawn in 2hrs. How long with it take them, working together, to mow the lawn?
A yearbook printer charges based on the number of pages printed. Here is a table that shows the cost of some recent yearbooks.Number of pages 50 100 150 200Cost 1.55 2.25 2.95 3.65Which equation gives the cost, y, in terms of the number of pages, x?A.y = 0.014x + 49.15B.y = 0.014x + 1.55C.y = 0.014x + 0.85D.y = 58.8x + 0.85
Put the fruit in order of weight least to greatest
Answers
o=oranges
b=banana
7a=4o 35a=20o
5o=6b 20o=24b
35a=20o=24b
the lowest number is heaviest and the biggest is the lieghtest
so order from leaast to greatest is a,b,o
apples banana oragnes
Answers
Answers
Amount of money charged by the carpenter for 15 hours = $825
Then
Amount of money charged by the carpenter per hour = 825/15 dollars
= 55 dollars
So the carpenters rate per hour is $55. The cost of the material has no significance with the carpenters rate per hour.The cost of the material hasno significance with the carpenter’s rate per hour. The material cost canchange as per the customers need. So it cannot be added to the carpenters perhour rate.
Answer:-
Now, since we need to find the rate per hour, we divide or set up a proportion.
825/15 = x/1
Cross multiply
825*1 = 825
15*x = 15x
15x = 825
Divide
15x/15 = 825/15
x= 825/15
x= 55
Now, since they told us that materials are also in the price, we need to add that too.
$55 per hour + 278 dollars for materials
55+278 = 333
But since the rate means how much, we do not need to include any materials cost.
We have our final answer: $55 per hour
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Answers
Answer:
8^3 what ever that is. in other words 64 times 8.
Step-by-step explanation:
Answers
The profit he made from the boxes is $48 .
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
A dozen boxes = 12 boxes
Number of highlighter pens in each box = 24
Total number of highlighter pens =
⇒ pens
Price for each box = $8
Total price for 12 boxes =
⇒
He repacked these boxes into packages of six highlighters each,
⇒
⇒ boxes
Price per package = $3
Total price for 48 boxes =
⇒
Thus profit =
⇒
Hence we can conclude that the profit he made from the boxes is $48 .
Learn more about word problems here
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12 x 8 = $96 (spent total)
6 pens = one package for $3
288 pens divided by 6 ... = 48 packages
48 x 3 = $144 (sold total)
144-96 = $48 (profit)