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Answer:
0.025
Step-by-step explanation:
-This is a conditional probability problem.
-Let L denote lens defect and C charging defect.
#We first calculate the probability of a camera having a lens defect;
#Calculate the probability of a camera having a charging defect:
The the probability that a camera has a lens defect given that it has a charging defect is calculated as:
Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025
Bonzo started with 2.1 dollars
Step-by-step explanation:
Assume that Bonzo has $x
1. Change $x to cents
2. Calculate the remaining money with him after each game
3. Equate the left money in the 3rd game by zero to find x
∵ $1 = 100 cents
∴ $x = 100 x cents
First game
∵ Bonzo has 100 x cents
∵ He paid 10¢ to get in
∴ The money left is (100 x - 10)
∵ He spent half the money he had left
- That mean the money left with him is the other have
∴ The money left with him = (100 x - 10) = (50 x - 5) cents
∵ He spent 10¢ to get out
∴ The money left after 1st game = (50 x - 5) - 10
∴ The money left after 1st game = (50 x - 15) cents
Second game
∵ Bonzo has (50 x - 15) cents
∵ He paid 10¢ to get in
∴ The money left is (50 x - 15) - 10 = (50 x - 25)
∵ He spent half the money he had left
∴ The money left with him = (50 x - 25) = (25 x - 12.5) cents
∵ He spent 10¢ to get out
∴ The money left after 2nd game = (25 x - 12.5) - 10
∴ The money left after 2nd game = (25 x - 22.5) cents
Third game
∵ Bonzo has (25 x - 22.5) cents
∵ He paid 10¢ to get in
∴ The money left is (25 x - 22.5) - 10 = (25 x - 32.5)
∵ He spent half the money he had left
∴ The money left with him = (25 x - 32.5) = (12.5 x - 16.25) cents
∵ He spent 10¢ to get out
∴ The money left after 3rd game = (12.5 x - 16.25) - 10
∴ The money left after 3rd game = (12.5 x - 26.25) cents
∵ He found he had no money left after the 3rd game
∴ Equate the left money with him by zero
∴ 12.5 x - 26.25 = 0
- Add 26.25 to both sides
∴ 12.5 x = 26.25
- Divide both sides by 12.5
∴ x = 2.1
<em>Bonzo started with 2.1 dollars </em>
Learn more:
You can learn more about money in brainly.com/question/1870710
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