Probability

posted by .

One of two cards is black on one side and white on the other side. The second card is black on both sides. One card is selected at random and the side facing up is black. What is the probability that the other side of the card is white?

  • Probability -

    There are eight possible card arrangements with equal probability. The first of each pair listed below is the first draw. B' is one of the black sides of the two-sided black card.

    The possibilities are:
    B/W and B/B'; B/W and B'/B; W/B and B/B'; W/B and B/B', B/B' and W/B; B/B' and B/W; B'/B and W/B; B'/B and B/W. Six of these possibilities give Black in the first draw. The only possibilities after getting a B or B' are the following six:
    B/W and B/B'; B/W and B'/B; B/B' and W/B; B/B' and B/W; B'/B and W/B; B'/B and B/W.
    Two of those six result in white for the second draw. The probability of white is 1/3.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Here's a chalenging one that i can't do at all. A deck of cards has 6 yellow, 6 green, and 5 black cards. You pick four cards from the deck. Cards are not returned after they are picked. What's the probability of picking- first not …
  2. math

    a card is picked from a pack containing 52 cards . it is then replaced and a second card is picked. Find the probability that a)both cards are the seven of diamonds, b)the first card is a heart and the second a spade. c)one card is …
  3. algebra

    if one card is selected at random from a standard deck of 52 cards, what is the probability of choosing a black card or a king?
  4. Math-probability

    One card is selected at random from a deck of cards. Determine the probability that the card is a black heart.
  5. Math

    One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card.
  6. Math-New Question

    One card is selected from a deck of playing cards. Determine the probability of selecting: a card greater than 9 or a black card
  7. Math

    Laurie is holding 6 red cards and 7 black cards. If two cards are selected at random(w/out replacement), what is the probability that the first card selected is red and the second is black?
  8. ALGEBRA II

    Using a standard deck of cards, find the probability that: 1) You choose two cards and one is a face card and the other is black 2) A black jack and then an ace are drawn
  9. Math

    Need help on how to solve this problem.. Five cards are chosen from a deck of playing cards and put into a pile. Three of the cards are red and 2 of the cards are black. A second pile is made using 2 red cards and b black cards. One …
  10. Statistics

    . Two cards are drawn at random, without replacement, from a standard 52-card deck. Find the probability that: (a) both cards are the same color (b) the first card is a face card and the second card is black

More Similar Questions