(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
- P(L or R)
-
p(L) - P(s and w)
- P(w or R)
- P(L or W)
- P(S complement)
- P(L or S)
- P(L complement, complement)
Deliverable: Word Document