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ELEN [110]
3 years ago
11

You have 16 socks in your drawer. 4 are black, 6 are white, 4 are blue, and 2 are gray. Suppose you randomly choose a sock, repl

ace it, and randomly choose another. What is the probability that either the first sock is blue or the second sock is gray?
Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Answer:

11/32

Step-by-step explanation:

4/16 + 2/16 - 1/32

simplify and solve

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
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Answer:

0.3009 is the  probability that the applicant has graduate degree given he is a male.                                                              

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

n(M) = 206

Number of applicants that are male and have a graduate degree = 62

n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

We have to find the probability that the applicant has graduate degree given he is a male.

P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

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Is number 4 correct?
Strike441 [17]

Answer:

sure

Step-by-step explanation:

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