(See Solution) A box contains 60 marbles of which 21 are large(the rest are small) and 27 are red (the rest are white). Exactly four of the large marbles


Question: A box contains 60 marbles of which 21 are large(the rest are small) and 27 are red ( the rest are white). Exactly four of the large marbles are white. A marble is chosen at random from the box. Let L stand for the event a large marble is chosen, S for small, R for red, and W for white. Find the following probabilities. (hint: set up a 2x2 contingency table with color along one side and size along another. Include totals for the rows and columns.)

Contingence table:

SIZE TOTAL
Large Small
COLOR Red 17 10 27
White 4 29 33
TOTAL 21 39 60

Compute the following

  1. P(L or R)

  2. p(L)
  3. P(s and w)
  4. P(w or R)
  5. P(L or W)
  6. P(S complement)
  7. P(L or S)
  8. P(L complement, complement)

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