The number lock of a suitcase has four wheels, each labelled with 10 digits.i.e., from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

2

(a)

A single letter is selected at random from the word 'PROBABILITY', then find the probability that letter is vowel. 

2

(a)

Check whether the following probabilities P(A)=0.3, P(B)=0.65 and \(P(A\cup B)=7\) are consistently defined.

2

(a)

If  A and B are two events such that P(A) = \(\frac { 1 }{ 4 } \)  P(B) = \(\frac { 1 }{ 2 } \) and \(P(A\cap B)=\frac { 1 }{ 8 } \) .Then , find P ( not A and not B).

2

(a)

An experiiment consists of rolling a die and then tossing a coin, once, if the number on the die is even. If the number in the die is odd, then coin is tossed twice. Write the sample space for this experiment.

2

(a)