SOLUTION: A bag contains different colored beads. The probability of drawing two black beads from the bag without replacement is 335 , and the probability of drawing one black bead is 310 .

Question 1128226: A bag contains different colored beads. The probability of drawing two black beads from the bag without replacement is 335 , and the probability of drawing one black bead is 310 .
What is the probability of drawing a second black bead, given that the first bead is black?
Found 2 solutions by ikleyn, sapphira :
Answer by ikleyn(52855)   (Show Source): You can put this solution on YOUR website!
.

For your info and your education:

The probability values are ALWAYS between zero and 1 (inclusively), but NEVER are out of this interval.

So, through your post to the GARBAGE BOX, which is THE ONLY PLACE for it.

Also remember, if at the exam or at the test you will say that the probability can be 335 or 310,
you will get the lowest possible score IMMEDIATELY.

It is, actually, "a shame" to pronounce it, demonstrating total absence of knowledge, related to the Probability basics.

It is the same as to say   2 x 2 = 3    in Arithmetic.

---------------

Do not forget to post your "THANKS" to me for my lesson.

Have a nice evening / night / morning / afternoon / day / week.

Answer by sapphira (1)   (Show Source): You can put this solution on YOUR website!
So there is 15 black and 35 non-black and 50 altogether
If one black has already been selected then there will be 14 black and 49 altogether remaining.
So the probability of selecting a second black is 14/49 simplified to 2/7.
RELATED QUESTIONS
Suppose you have a bag containing the following 32 red beads 18 white beads 12 black (answered by Cromlix)
Suppose you have a bag containing the following 32 red beads 18 white beads 12 black (answered by jim_thompson5910)
A bag contains 2 red beads and 3 black beads. Two beads are taken from the bag and not... (answered by stanbon)
A box contains 5 blue beads, 4 yellow beads and 3 purple bead. Three beads are taken... (answered by Edwin McCravy)
5.) Bella has 7 green beads, 10 yellow beads and 3 white beads in a pouch. Two beads are... (answered by ikleyn)
A bag contains 10 beads -- 2 black, 3 white, and 5 red. A bead is selected at random.... (answered by ikleyn)
A bag contains 10 beads -- 2 black, 3 white, and 5 red. A bead is selected at random.... (answered by ikleyn)
A bag cpntains 2 red beads and 3 black beads. Two beads are taken from the bag and not... (answered by stanbon)
A bag contains 20 colored beads. A bead is selected from the bag and then replaced. After (answered by edjones,davethejackal)