There are six cards in a box, each bearing a number from 0 to 5. Find the probability of each of the following events, that a card drawn shows,

(1) a natural number.

(2) a number less than 1.

(3) a whole number.

(4) a number is greater than 5.

Attempt of the following question:

If the value of determinant is 31, find the value of m.

Attempt any four subquestions from the following:

A coin is tossed. For this random experiment write the sample space and find n(S).

Attempt of the following question:

A die is thrown, then find the probability of the following events :
A is an Event : getting an odd number on the upper surface of the die.

Attempt any two sub-questions from the following:

Two dice are thrown, find the probability of getting:
(a) The sum of the numbers on their upper faces is at least 10.
(b) The sum of the number on their upper faces kin divisible by 5.
(c) The number on the upper face of the first die is greater than the number on the upper face of the second die.

Attempt of the following question:

Draw the frequency polygon for the following frequency distribution:

Attempt of the following question:

There are three boys and two girls. A committee of two is to be formed.
Find the probability of the following events:
Event A : The committee contains at least one girl.
Event B : The committee contains one boy and one girl.

Attempt of the following question:

The marks scored by students in Mathematics in a certain Examination are given below:

Draw histogram for the above data.

Attempt any three sub-question from the following:

Two-digit numbers are formed from the digits 0, 1, 2, 3, 4 where digits are not repeated. Find the probability of the events that:

(a) The number formed is an even number.

(b) The number formed is a prime number.

Attempt any three of the following sub questions:

If two coins are tossed, then find the probability of the event that at least one tail turns up.