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Yuliya22 [10]
2 years ago
9

Somebody help me please

Mathematics
1 answer:
Fofino [41]2 years ago
3 0

Answer:

B. 3^(2/3)

Step-by-step explanation:

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Miss Berk has 8 pairs of pajama pants and 3 pairs of slippers. Three pairs of the pajama pants are Harry Potter themed and one p
shusha [124]

The probability that both items will be Harry Potter themed is 1/8.

<u>Step-by-step explanation:</u>

Total Number of pajama pants n(P) =8

Total number of slippers n(S)= 3

Number of Harry Potter themed Pajama pants n(H.P)=3

Number of Harry Potter themed slippers n(H.S)=1

We have to determine the probability of selecting pants and slippers that are both Harry Potter themed.

If two events A and B are independent, then the probability of A and B is given by

P(A and B)=P(A)*P(B)

Here the events selecting Harry potter themed pants and selecting harry Potter themed slippers are independent.

P(Harry\ Potter\ pants)=\frac{n(H.P)}{n(P)}

                                       =\frac{3}{8}

P(Harry\ Potter\ slippers)=\frac{n(H.S)}{n(S)} \\                                         =1/3

P(Harry\ Potter\ pants\ and\ Harry\ Potter\ slippers)=P(Harry Potter pants)\times P(Harry potter slippers)

=\frac{3}{8}\times  \frac{1}{3} =\frac{1}{8}

Hence probability of selecting Harry potter themed pants and Harry potter themed slippers is 1/8

3 0
3 years ago
Read 2 more answers
(a) Count the number of ways to select a sample of 3 people to serve on a board of directors from a population of 6 people______
ValentinkaMS [17]

Answer:

(a) 20 ways

(b) 0.05 or 5%

Step-by-step explanation:

(a) Assuming that the order in which people are chosen does not matter, the number of ways to select 3 people out of possible 6 is given by the following combination.

n=\frac{6!}{(6-3)!3!}=\frac{6*5*4}{3*2*1}=20\ ways

(b) In a random sampling procedure, every outcome is just as likely to occur. Therefore, the chances that any particular sample will be the one selected are:

C = \frac{1}{20}=0.05 = 5\%

8 0
3 years ago
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