A bag contains a red ball, a black ball, a yellow ball and a white ball. One ball is selected randomly and note its colour and then put it into the bag. Again second ball is selected and note its colour. Write the sample space for this experiment. Hence, describe the following events :
(1) A: Selected both the balls are of same colours.
(2) B: Only one ball is white.
(3) C: At least one ball is white.
(4) D: Both the balls are of different colour.
Hence, find `AnnB,BuuC,AuuD,AnnD`. What can we say about the events B and C ? What can we say about the events A and D?

Answer

`S={R R, RB, RY, RW, BR, BB, BY, BW, YR, YB, YY,YW, WR, WB, WY, WW}`
`A={R R, WW, BB, YY}`
`B={RW, BW, YW, WR, WB, WY}`
`C = {RW, BW, YW, WR, WB, WY, WW}`
`D={RB, RY, RW, BR, BY, BW, YR, YB, YW, WR, WB,WY}`
`AnnB=phi,BuuC=C,AuuD=S,AnnD=phi,BsubC` A and D are mutually exclusive and exhanstive event.