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Keith_Richards [23]
2 years ago
15

10. Suppose that we draw cards repeatedly and with replacement from a file of 100 cards, 50 of which refer to male and 50 to fem

ale persons. What is the probability of obtaining the second "female" card before the third "male" card?
Mathematics
1 answer:
lions [1.4K]2 years ago
7 0

Answer:

11/16

Step-by-step explanation:

there are 100 cards out of which there are 50 male and 50 female cards

M= male card F= female cards

P(M)= 50/100= 1/2

P(F)= 50/100= 1/2

Following are the combination in which we can obtain second Female card before Third Male card

FF, FMF, MFF,  MMFF, MFMF, FMMF

So, P(FF)= \frac{1}{2}\times\frac{1}{2}= 1/4

P(FMF)=  \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}= 1/8

and P(MFF)= \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}= 1/8

P(MMFF)= \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}

=1/16

P(MFMF)= \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}

=1/16

P(FMMF)= \frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}

=1/16

so the required probability is the sum of all these

=1/4 + 1/8 + 1/8 + 1/16 + 1/16 + 1/16= 11/16

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John and Belinda played a nine holes of golf. John's score was 10 less than two times Belinda's score. If Johns score was 54 str
polet [3.4K]

Answer:

Belinda's score is 32 strokes.

Step-by-step explanation:

Let the score of John be "x" and Belinda be "y".

It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.

Also, John's score is 54 strokes.

The above equation can be written as ;

x = 2(y) -10

Here, x = 54,

54 = 2(y) -10

64 = 2(y)

y = 32

Thus, Belinda's score is 32 strokes.

6 0
2 years ago
A room has an area of 121 ft2 but carpeting is only sold in m2. How much carpeting is needed to carpet the room?
kykrilka [37]
The correct answer for the question that is being presented above is this one: "D.)11.24 m2."
First, we need to know the conversion between feet to meters.
1 meter = 3.28 feet
1 meter^2 = 10.7584 ft^2

Given the value of 121 ft^2,
= 121 ft^2 * (1 m^2 / 10.7584 ft^2)
= 11.2470 m^2


7 0
2 years ago
Read 2 more answers
A linear regression equation is calculated for a sample of n = 20 pairs of X and Y values.
Nata [24]

Answer: B) 18

Step-by-step explanation:

The degree of freedom for Standard error or df(Residual) is the sample size minus the number of estimated parameters ,.

df= n - p  , where n= sample size , p = number of parameters.

According to the given problem , we have

Sample size : n=20

Number of parameters (x and y ): p= 2

Then, the df value for the standard error of estimate will be :

df= n-p =20-2=18

Thus , the df value for the standard error of estimate is 18 .

Hence, the correct answer is B) 18 .

3 0
2 years ago
Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat
Margaret [11]

Answer:

a) 23.76%

b) 7.8%

Step-by-step explanation:

a) probability that a failure is due to loose keys.

loose key failure (27%) comes under mechanical failure(88%)

hence, probability that a failure is due to loose keys= 0.27×0.88= 0.2376= 23.76%

b)  probability that a failure is due to improperly connected wire which comes under electrical failure = 0.12×0.13

probability that a failure is due to poorly welded wires which comes under electrical failure= 0.52×0.12

now, the probability that a failure is due to improperly connected or poorly welded wires. = 0.12(0.52+0.13)= 0.078= 7.8%

6 0
2 years ago
Read 2 more answers
What are the closest two integers that 300 Sqrt. is between?<br><br>PLEASE HELP ME!
DerKrebs [107]
The two closest integers that 300 sqrt is 17 and 18
3 0
2 years ago
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