Selecting Socks Without Replacement Exercise

Selecting Socks Without Replacement

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Selecting Socks Without Replacement

Compute probabilities for randomly picking pairs of socks from a drawer without replacing the first selection.

Questions

  1. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(1st Blue)?

  2. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(Blue 1st AND Blue 2nd)?

  3. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(Black 1st AND Black 2nd)?

  4. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(Blue 1st AND Black 2nd)?

  5. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(getting a matching pair)?

  6. MultiChoice

    Drawer has 4 Blue and 2 Black socks. Pick two without replacement. What is P(getting two different color socks)?

  7. MultiChoice

    Drawer has 3 Red and 3 White socks. Pick two without replacement. What is P(both Red)?

  8. MultiChoice

    Drawer has 3 Red and 3 White socks. Pick two without replacement. What is P(matching pair)?

  9. MultiChoice

    Drawer has 5 Stripe and 1 Plain sock. What is P(Plain on 1st pick)?

  10. MultiChoice

    Drawer has 5 Stripe and 1 Plain sock. Pick two without replacement. What is P(Plain 1st, Stripe 2nd)?

  11. MultiChoice

    Drawer has 5 Stripe and 1 Plain sock. Pick two without replacement. What is P(both Plain)?

  12. MultiChoice

    Why does the second sock branch probability depend on the outcome of the first sock pick?