Math

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles.

What is the probability that you choose a blue marble and then another blue marble, assuming you replace the first marble?

  1. 👍 1
  2. 👎 0
  3. 👁 1,346
  1. A)
    1
    24
    B)
    1
    16
    C)
    1
    2
    D) **
    3
    4

    1. 👍 0
    2. 👎 3
  2. I disagree

    prob blue = 3/12 = 1/4
    since you are replacing ,
    prob(blue, blue) = (1/4)(1/4) = 1/16

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  3. Thanks, also can you help me with 1 more?
    A standard deck of playing cards contains 52 cards, equally divided among four suits (hearts, diamonds, clubs, and spades). Each suit has the cards 2 through 10, as well as a jack, a queen, a king, and an ace.

    If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a king?
    A)
    1
    17
    B)
    16
    51
    C)
    4
    17
    D)
    5
    17

    1. 👍 1
    2. 👎 1
  4. For your first draw, you drew the 3 of spades, so for your next draw you want a spade or a king

    First of all, there are now only 51 cards left,
    there are 12 spades left and 4 kings left, which includes the king of spades
    so the number of successful cards = 12+4-1 = 15

    prob (of your event) = 15/51 = 5/17

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