Lovely Professional University 2008 B.Tech Information Technology Assignment 5- Discrete Mahematics - Question Paper

ASSIGNMENT five

Q1) fron an urn containing 4balls of various colours i.e, red(R),blue(B),yellow(Y) and Green(G),two balls are drawn;(i) simultaneously(ii) 1 after the other with replacement. describe the sample space in both cases.

Q2) from a pack of 52 cards , two are drawn in two successive trials. obtain the probabaility of both being aces if (i) card is not change
d after the draw
(ii) card is changed after the 1st draw.

Q3) the probability that a learner passes a physics test is 2/3 and the probability that he passesboth physics test and englishtest is 14/45.the probability that he passes atleast 1 test ic 4/5. what is the prob. That he passes the English test.

Q4) a study showed that 65% of managers had a few business education and 50% had a few engineering education. Furthermore , 20% of managers had a few business education but no engineering education. What is the probability that a mgr. has a few business education provided that he has a few engineering education?

Q5) two dice , one green and the other red are thrown . let A be the event that the sum of point on the faces is odd, and B be the event of atleast 1 ace (no.1).describe the complete sample space.

Q6) A,B and C are 3 arbitrary events. obtain expression for the events in the situation of A , B and C:
a. only A occurs
b. both A and B butnot C occur
c. all 3 events occur
d. atleast 1 occurs
e. atlest two occurs.

Q7)from a city population the prob. Of selecting (i) a male or a smoker is 7/10(ii) a male smoker is 2/5(iii) a male , if a smoker is already opted is 2/3. obtain the prob. Of selecting

a. a non smoker
b. a male and
c. a smoker if a male is 1st slected

Q8) an urn contains six white , 4red and nine balck balls,if 3 balls are drawn at random , obtain the probabilitythat
a. 2 of the balls are drawn white
b. One is of every colour
c. None is red
d. Atleast 1 is white

Q9) four cards are drawn at random from a pack of five cards. obtain the prob. That
a. they are a king, a queen, a jack and a ace
b. 2 are kings and two are reds
c. 2 are black and two are red

Q10) two unbiased dice are thrown obtain the prob. That
a. both the dice show the identical no.
b. the 1st dice indicates 6
c. the total of the no.s on the dice is 8

Earning:   Approval pending.