Four quilters are preparing patches for a quilt. When finished, the quilt will contain 200 patches. The quilters’ contributions thus far are in the table below.

Name Number if patches
Lia 65
Brian 17
Elle 88
len 6

Find the probability that a randomly chosen patch:
1. Will have been sewn by Elle?
2. Will not have been sewn by Lia?
3. Will have been sewn by Brian or Len?

Add up the number of patches. The compute the fraction done by each... (or not done, if that is what they ask for)

To find the probability that a randomly chosen patch will have been sewn by a specific quilter, divide the number of patches sewn by the quilter by the total number of patches:

1. Probability of a randomly chosen patch being sewn by Elle = Number of patches sewn by Elle / Total number of patches
= 88 / 200
= 0.44 or 44%

2. Probability of a randomly chosen patch not being sewn by Lia = 1 - Probability of a randomly chosen patch being sewn by Lia
= 1 - (Number of patches sewn by Lia / Total number of patches)
= 1 - (65 / 200)
= 1 - 0.325
= 0.675 or 67.5%

3. Probability of a randomly chosen patch being sewn by Brian or Len = Probability of a randomly chosen patch being sewn by Brian + Probability of a randomly chosen patch being sewn by Len
= (Number of patches sewn by Brian / Total number of patches) + (Number of patches sewn by Len / Total number of patches)
= (17 / 200) + (6 / 200)
= 0.085 + 0.03
= 0.115 or 11.5%

To find the probability of a randomly chosen patch meeting certain criteria, we need to use the concept of probability. Probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

1. To find the probability that a randomly chosen patch will have been sewn by Elle, we need to calculate the number of patches sewn by Elle and divide it by the total number of patches.

Number of patches sewn by Elle: 88
Total number of patches: 200

Probability = Number of patches sewn by Elle / Total number of patches
= 88 / 200
= 0.44
= 44%

Therefore, the probability that a randomly chosen patch will have been sewn by Elle is 44%.

2. To find the probability that a randomly chosen patch will not have been sewn by Lia, we need to calculate the number of patches not sewn by Lia and divide it by the total number of patches.

Number of patches not sewn by Lia: Total number of patches - Number of patches sewn by Lia = 200 - 65 = 135

Probability = Number of patches not sewn by Lia / Total number of patches
= 135 / 200
= 0.675
= 67.5%

Therefore, the probability that a randomly chosen patch will not have been sewn by Lia is 67.5%.

3. To find the probability that a randomly chosen patch will have been sewn by Brian or Len, we need to calculate the number of patches sewn by Brian or Len and divide it by the total number of patches.

Number of patches sewn by Brian or Len: Number of patches sewn by Brian + Number of patches sewn by Len = 17 + 6 = 23

Probability = Number of patches sewn by Brian or Len / Total number of patches
= 23 / 200
= 0.115
= 11.5%

Therefore, the probability that a randomly chosen patch will have been sewn by Brian or Len is 11.5%.