Increase 10cm by 20%
1 answer:
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Given: Different points and an angles as found in the image
To Determine: The correct name of the angle shown
Solution
An angle is formed when two lines meet at a point. This is as shown below
Let us apply the above to the given image
The angle formed is shown by the red arc.
Hence, the correct name of the angle shown is ∠
P(B/A) is in the simplest form
Step-by-step explanation:
Let us explain how to solve the problem
- P(B|A) is called the "Conditional Probability" of B given A
- Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
- The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)
∵ There are 3 red marbles, 5 green marbles, and 2 blue
marbles in the jar
∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10
∵ Two marbles are drawn from the bag, one after the other without
replacement
- That means red is already occurred when green is happened,
so it is a "Conditional Probability" of green given red
P(B/A) = P(A and B)/P(A)
∵ Event A is defined as drawing a red marble from the jar on
the first draw
∴ P(A) = P(red)
∵ P(red) =
∴ P(A) =
∵ Event B is defined as drawing a green marble on the second draw
∴ P(B) = P(green)
- The number of marbles after the red is chosen is 9
∵ P(green) =
∴ P(B) =
- Find P( A and B)
∴ P(A and B) = ( ) . (
)
∴ P(A and B) =
- Simplify the fraction by divide up and down by 15
∴ P(A and B) =
∵ P(B|A) = P(A and B)/P(A)
- Substitute the values of P(A and B) and P(A) in the rule above
∴ P(B/A) =
- Simplify the fraction
∵ ÷
=
×
=
- Divide up and down by 2
∴ P(B/A) =
P(B/A) is in the simplest form
Learn more:
You can learn more about probability in brainly.com/question/10744457
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