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 TypeX is a number whose values are defined on the outcomes of a random experiment.
∴ X is a random variable.
Now S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}
Then X(HHH) = Rs. (2 × 3) = Rs. 6 X(HHT) = X(HTH) = X(THH)
= Rs. (2 × 2 - 1 × 1.50) = Rs. 2.50
X(HTT) = X(THT) = (TTH) = Rs. (1 × 2 - 2 × 1.50)
= - Re 1
and X(TTT) = - Rs. (3 × 1.50) = - Rs. 4.50
where, minus sign shows the loss to the player. Thus, for each element of the sample space, X takes a unique value, hence, X is a function on the sample space whose range is {- 1, 2.50, - 4.50, 6}.
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