Five marbles are drawn from a bag which contains 7 blue marbles and 4 black marbles. What is the probability that 3 will be blue and 2 black?

2

(a)

If A and B are two events associated with a random experiment such that P(A)=0.3.P(B)=0.2 and \(P(A\cap B)=0.1\) ,then find the value of \(P(A\cap B)\)

2

(a)

What is the probability of drawing a 'king' from a well-shuffled deck of 52 cards?

2

(a)

Consider the following experiment of rolling a die.Let A be the event 'getting a prime number' and B be the event'getting an odd number'.Write the sets representing events
A or B

2

(a)

Two dice are rolled. Let E_1, E_2, and E₃ be the events of getting a sum of 4, 5 and respectively.
Which events are elementary events?

2

(a)

A die is rolled. If the outcome is an odd number, then what is the probability that it is a prime number?

2

(a)

Find the probability that in a random arrangement of the letters of the word 'SOCIAL' vowels come together.

2

(a)

A die is tossed. Let E denotes the event of getting a number multiple of 2 and F denotes the event of getting a number less than 7. Simplify the following event. F-E

2

(a)

Consider the experiment in which a coin is tossed repeatedly until a head comes up. Describe the sample space of the experiment.

2

(a)

If \(\frac { 3 }{ 7 } \) is the probability of an event A, what is the probability of the event 'not A'.

2

(a)

Two die are thrown simultaneously. Find the probability of getting four as the product.

2

(a)

If A and B are two mutually exclusive events in a sample space such that P(A) = 0.3 and P(B)= 0.6 then find P(A).

2

(a)

If A and B are two mutually exclusive events in a sample space such that P(A) = 0.3 and P(B)= 0.6 then find \(P(\overline { B) } \)

2

(a)

A card is drawn from a pack of 52 cards. Find the probability that
(i) one is an ace and other is black queen (ii)one is heart and the other is a spade

2

(a)

Two die are rolled together what is the probability that the sum of numbers on the two faces is neither divisible by 4 nor by 5?

2

(a)