Answer:
7/66
Step-by-step explanation:
The probability of picking one girl would be 5/12 That is because there are 5 girls out of the 12 students, and the probability of an event occuring is:
of things you want/of things are possible
Using that same logic, the next student should be easier. We reduced the student population by 1, so we have 11 possible ways it can happen now instead of 12, so that gives us 7/11 for the probability of picking a boy as the second pick.
And lastly, using the same logic shown above, the probability of picking a girl on the third pick would be: 4/10
We are not done, though. We have the separate probabilities, but now we have to multiply then together to figure out the probability of this exact event happening:
5/12 * 7/11 * 4/10 = 140/1320
Which when reduced is: 7/66
Answer:
106
Step-by-step explanation:
x+74=180
The sides all equal 180
so you do 180-74 in order to find the answer
To be sure of getting a pair of socks of the same color, you must place yourself in the worst position.
When you take out socks without lookong (radomly), the worst scenary is that the first time you take out a sock of a color and in the second fime you take out a sock of different color. Then, the next time (the third time) you necessarily take a sock that match one of the two taken out previously, and so have a pair.
So, the answer is that you must take out three socks to be sure that you have a pair.
Answer:

Step-by-step explanation:



Answer:
d. 20
Step-by-step explanation:
The given question implies 5 permutation 2, i.e 
.
But,

= 
So that for 
, n = 5 and r = 2.

= 
= 
= 
Cancel out 3 and 2 with respect to the numerator and denominator.

= 5 * 4
= 20
Therefore,

= 20
So that the correct option is D.