Answer:

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

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

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

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

Thus the option WN has the probability

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

The probability to pick a white counter is

Thus the option NW has the probability

The total probability of event A is the sum of both


Answer:
a) 12/91
b) about 67 times; (66 2/3)
Step-by-step explanation:
a) total of frequencies is 90 and frequency for a 3 is 11
however, the question said if the dice is rolled once more, then that raises the 11 to 12 and the frequency total from 90 to 91
let 'x' = # of sixes rolled out of 500 times
b) 12/90 = x/500
cross-multiply:
90x = 6000
x = 66 2/3
Answer:
<em><u>From my research on the internet, the image attached supports this problem. The two lines are parallel, as supported by the converse of corresponding angles postulate. It states that: If a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.</u></em>
<span>If you would like<span> to
know what is </span>12/39 in
simplest form, you can
calculate this using the following step:<span>
12/39<span> simplifies
to 4/13 (the common factor of 12 and 39 is 3, so you can divide both
numbers by 3).</span>
<span>The
result is 4/13.</span></span></span>
Answer:
<em>(a), (d)</em>
Step-by-step explanation: