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Bess [88]
2 years ago
3

. A softball coach has 2 buckets of balls. One contains 15 new and 5 used balls. The second bucket contains 2 new and 8 used bal

ls. The coach randomly selects a bucket and then randomly selects a ball from the bucket. a. Find the probability that the ball selected is new. b. Given that the coach selects a used ball, find the probability the ball is from the first bucket.
Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

Answer:

a) the probability that the ball selected is new is 0.475

b) the probability the ball is from the first bucket is 0.2381

Step-by-step explanation:

A = the ball selected is new

B = the bucket selected by the coach is de first one.

P(A|B) = 15/(15+5)=0.75

P(A|B') = 2/(2+8)=0.2

P(B) = 0.5

a) by the total probability theorem

P(A) = P(A∩B) +P(A∩B') = P(A|B)*P(B) + P(A|B')*P(B') = 0.75*0.5+0.2*(1-0.5)=0.475

b) by the bayes rule

P(B|A')=P(A'|B)P(B)/P(A') = (1-0.75)*0.5/(1-0.475)=0.2381

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2 years ago
Consider a specific chemical reaction represented by the equation aa + bb → cc + dd. in this equation the letters a, b, c, and d
noname [10]
We are usually concerned with one reaction. That is, the production of one specific set of products from a specific set of reactants.

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Use complete sentences to describe the transformation that maps ABCD onto its image.
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Applying the concept:

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In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose o
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Step-by-step explanation:


6 0
2 years ago
Read 2 more answers
A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 fee
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ok so we find volume of entier land first

we can cut into triangle an rectangle

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add
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find other areas and subtract
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minus

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divide both sides by 43560
1ft^2=1/43560 acre

multiply both sides by 243090
243090ft^2=243090/43560acre=5.5805acre=5.6acre rounded

answer is 5.6 acer


6 0
2 years ago
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