Factor -8m^3n^3+2m^5+2m^3

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

2 years ago

How do i estimate 13.5/5=?

Galina-37 [17]

Answer:

3

Step-by-step explanation:

Round to nearest 5 - 15

Divide 15 by 5 - 3

8 0

1 year ago

Read 2 more answers

Hey or range for each

topjm [15]

Answer : 100 meters 2:35/mile or 1:36/km 2:49/mile or 1:45/km

200 meters 2:35/mile or 1:36/km 2:52/mile or 1:47/km

400 meters 2:54/mile or 1:48/km 3:12/mile or 1:59/km

800 meters 3:23/mile or 2:06/km 3:48/mile or 2:21/km

1,500 meters 3:41/mile or 2:17/km 4:07/mile or 2:34/km

1 mile 3:43/mile or 2:19/km 4:13/mile or 2:37/km

5K 4:04/mile or 2:31/km 4:34/mile or 2:50/km

10K 4:14/mile or 2:38/km 4:45/mile or 2:57/km

Half Marathon

(13.11 miles / 21.098 km) 4:27/mile or 2:46/km 4:58/mile or 3:05/km

Marathon

(26.22 miles / 42.195 km) 4:41/mile or 2:55/km 5:10/mile or 3:13/km

Step-by-step explanation: sorry if this is wromg :/ ( but if it is please add me as the brainist answer )

7 0

3 years ago

Which is the most accurate way to estimate 25% of 53?

Alex Ar [27]

You can calculate them out and check which one is the most accurate

so if one of the choices was 1/3 of 50, then you would do:
1/3 in the calculator (should be 0.333...) times 50

And you can compare it with the EXACT number, which is:
0.25*53=13.25

This way you can test all the options

8 0

3 years ago

Answer this pleaseee !!

photoshop1234 [79]

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

6 0

2 years ago

Read 2 more answers