math

posted by .

Yosuf has three grey socks and four blue socks in his sock drawer. He pulls out a pair of socks in the dark.
(a) What is the total number of possible outcomes?
(b) What is the probability that the pair of socks selected is grey?
(c) What is the probability that the pair of socks selected is blue?
(d) What is the probability that the pair of socks selected is neither grey nor blue?

  • math -

    a) 3 outcomes:
    GG , GB, BB

    b) 3 G, and 4B
    prob (GG) = (3/7)(2/6) = 1/7

    c) prob (BB) = ((4/7)(3/6) = 2/7

    d) prob(not both blue or grey)
    = prob (BG) + prob(GB)
    = (4/7)(3/6) + (3/7)(4/6)
    = 2/7 + 2/7 = 4/7

    or we could have taken
    1 - (1/7+2/7) = 4/7

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Your sock drawer has 10 blue socks, 16 red socks, and 12 white socks. If you reach into the drawer in the dark, how many socks do you need to pull out to be sure you have a matching pair?
  2. math

    Your sock drawer has 10 blue socks, 16 red socks, and 12 white socks. If you reach into the drawer in the dark, how many socks do you need to pull out to be sure you have a matching pair?
  3. math

    a sock drawer contains 10 white socks, 6 black socks, and 8 blue socks. if 2 socks are chosen at random, what is the probability of getting a pair of white socks?
  4. math

    Four blue socks, four white socks, and four gray socks are mixed in a drawer. You pull out two socks, one at a time, without looking. a. Draw a tree diagram along with the possible outcomes and the probabilities of each branch. b. …
  5. Math

    Mario has large drawer with only white and blacks socks. He has 3 times as many blacks socks as white socks. If Mario randomly selects 10 socks what other info is necessary to do.dthe probability that he wi get at least 3 pairs of …
  6. math

    You have 60 red socks and 30 blue socks unpaired in a drawer. You can not see the socks, they are in a drawer and it is dark. What is the minimum number of socks that you have to pull out before you have a matching pair?
  7. math

    One of your dresser drawers contains 10 black socks and 10 blue socks. Suppose it is dark and you can’t tell what color a sock is when you look at it. If you start taking socks randomly one at a time from the drawer, how many would …
  8. Meths

    A drawer contains 22 black socks, 22 white socks, 22 blue socks, and 22 brown socks. If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that …
  9. math

    Paul has 8 white socks, 4 blue socks,10 grey socks, and 12 black socks in his drawer. The socks are all jumbled up. What is the greatest number of socks that he would need to pull out to have a matching pair?
  10. Math

    A drawer contains 22 black socks, 22 white socks, and 22 blue socks.  If the light is off and Matt reaches into the drawer to get his socks, what is the minimum number of socks he must pull out in order to be sure that he has …

More Similar Questions