Write -9/20 as a decimal number

a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou

Fed [463]

Answer:

$\displaystyle P(A)=\frac{6}{11}$

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

$\Omega=\{WW,WN,NW,NN\}$

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

$A=\{WN,NW\}$

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

$\displaystyle \frac{5}{11}$

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

$\displaystyle \frac{6}{10}$

Thus the option WN has the probability

$\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}$

Now for the second option NW. The initial probability to pick a non-white counter is

$\displaystyle \frac{6}{11}$

The probability to pick a white counter is

$\displaystyle \frac{5}{10}$

Thus the option NW has the probability

$\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}$

The total probability of event A is the sum of both

$\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}$

$\boxed{\displaystyle P(A)=\frac{6}{11}}$

7 0

3 years ago

How many equal sides does a equilateral triangle have

Ronch [10]

Answer:

3

Step-by-step explanation:

An equilateral triangle means all sides have the same length and there are 3 sides to a triangle. Therefore, the answer is 3.

8 0

3 years ago

1)Se considera un cerc si un punct oarecare. Expresiile punct interior cercului, punct pe cerc sau punct exterior textului descr

BaLLatris [955]

Explanation:

Unclear question. But I inferred this to be clear rendering of your question;

1) It is considered a circle and a certain point. The expressions dot inside the circle, dot on circle, or dot outside the text describe the position of a dot relative to a circle. In figure 2 are drawn: a circle C of center O, points on the circle, points outside the circle and points inside the circle. a) Name the points inside the circle; b) Name the points that belong to the circle; c) Name the points outside the circle.

2) Consider any point P and a circle C of center O and radius r. Compare the distance OP with the radius of the circle if: a) The point is inside the circle; b) The point is on the circle; c) The point is outside the circle.

3 0

3 years ago

Please help urgent ❤️❤️❤️Pl

olga nikolaevna [1]

Answer:

theres no question so we cant answer nothing

5 0

3 years ago

Eastern Meats pays its delivery workers regular time for up to 36 hours per week and

Cloud [144]

Answer:

42-36=6

42+6=48

545.28 / 48=11.36

11.36

8 0

3 years ago