Short Answer Type
Long Answer TypeColoured balls are distributed in four boxes as shown in the following table:
|
Box |
Colour |
|||
|
Black |
White |
Red |
Blue |
|
|
I |
3 |
4 |
5 |
6 |
|
II |
2 |
2 |
2 |
2 |
|
III |
1 |
2 |
3 |
1 |
|
IV |
4 |
3 |
1 |
5 |
Suppose we have four boxes A, B, C and D containing coloured marbles as given below:
|
Box |
Marble Colour |
||
|
Red |
White |
Black |
|
|
A |
1 |
6 |
3 |
|
B |
6 |
2 |
2 |
|
C |
8 |
1 |
1 |
|
D |
0 |
6 |
4 |
One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red. what is the probability that it was drawn from box A? box B? box C?
Multiple Choice Questions
A coin is tossed. A reports that a head appears. The probability that actually there was head is
Short Answer TypeLet the balls in the bag be denoted by w1, w2, r.
∴ S = {w1 w1 , w1 w2 , w2 w2, w2 w1, w1 r, w2 r, r w1, r w2, r r}
Now, for ω ∈ S
X(ω) = number of red balls
∴ X({w1 w1}) = X({w1 w2}) = X({w2 w2}) = X({w2 w1}) = 0
X({w1 r}) = X({w2 r}) = X({r w1}) = X({r w2}) = 1
and X({r r}) = 2
∴ X is a random variable which can take values 0, 1 or 2.
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