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Answer:
Step-by-step explanation:
Given that,
Renee has 1/4 yard of floral fabric.
She cuts it into 5 equal pieces.
We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,
So, each new piece pf fabric is .
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Step-by-step explanation:
Let us revise some rules of probability
The addition rules are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ A batch has 100 parts
∵ 40 are red
- Probability of an event is the [even occurs/total outcomes]
∴ P(red) =
∵ 50 are L-shaped
∴ P(L-shaped) =
∵ 22 are both red and L-shaped
∴ P(red and L-shaped) =
This is non-mutually exclusive because there is a common between them, so we will use the 2nd rule
∵ P(red or L-shaped) = P(red) + P(L-shaped) - P(red and L-shaped)
∴ P(red or L-shaped) = 0.4 + 0.5 - 0.22
∴ P(red or L-shaped) = 0.68
The probability that a part picked from this batch at random is either red or L-shaped is 0.68
Learn more:
You can learn more about the probability in brainly.com/question/2254182
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