DS on probability question

If 2 diff. representatives are to be selected from a group of 10 ppl and if p is the probability that both representatives will be women.

is P>1/2



1- More than 1/2 of the 10 employees are women
2- the probability that both representatives will be men is less than 1/10.

DS question on probability

what is the prob that a randomly selected studenti is male with brown hair?

1-) 1/3 of students have brown hair
2-) 1/2 students are male.


Please detail your reasoning.

x and y equlity question

if xy different than 0.

x^2y2 - (xy) = 6, which of the following can be y in terms of x

I- 1/(2x)
II- -2/x
III- 3/x


A- I only
B- II only
C- I & II
D- I and III
E- II and III

please describe your reasoning.

Thanks

Probability Question on different topics

if I have 4 orange balls and 6 white balls in a jar. what is the probability of the following?

1- Pick 1 orange ball

2- pick 2 orange balls.

please explain the process in detail on how to obtain such answers.

Thanks

Productivity Rate question

3 printing presses R, S and T work together at constant rates and can do a job in 4 hours.

If S and T work alone, they finish the same job in 5 hours.

How many hours can R do the job if it is to work by itself?

8
10
12
15
20

Probability Question...

If there are 6 blue balls and 4 red balls in a bucket. what is the probability that if i am to draw twice that i get 2 blue balls? please explain your reasoning.

Thanks

Dana, I agree with your procedure except that I think L = 1/2S

this means that the total = S+M+L+X = 1/3M + M+ 2*L (since L=X)
so The total = 5/3M

The question asks about the percentage of M from the total, so it's M/T = 3/5 or 60%

the point is the the sqrt root of 4 = 2 or -2.
because 2*2 = 4 and -2*-2 = 4