There are 3 different pairs `(i.e. 6 `units say `a, a, b, b, c, c)` of shoes in a lot. Now three person come & pick the shoes randomly (each gets 2 units). Let p be the probability that no one is able to wear shoes (i.e. no one gets a correct pain), then `(13p)/(4-p)`is

There are 10 pairs of shoes in a cupboard, from which 4 shoes are picked at random. If p is the probability that there is at least one pair, then 323p-97 is equal to

Three players A, B, C toss a coin in turn till head shows. Let p be the probability that the coin shows a head. Let alpha,beta,gamma be respectively the probabilities that A, B and C get first head then

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then When x = 4, then P(E) is equal to

Let A and B be two independent events with P(A) = p and P(B) = q. If p and q are the roots of the equation ax^(2) + bx + c = 0 , then the probability of the occurrence of at least one of the two events is

There are two die A and B both having six faces. Die A has three faces marked with 1 , two faces marked with 2 , and one face marked with 3 . Die B has one face marked with 1 , two faces marked with 2 , and three faces marked with 3 . Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E , then P(E) is maximum when x equal to

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

For the three events A ,B ,a n dC ,P (exactly one of the events AorB occurs)=P (exactly one of the two evens BorC )=P (exactly one of the events CorA occurs)=pa n dP (all the three events occur simultaneously)=p^2w h e r eo

Match the type of unit cell given in Column I with the features given in Column II. coloumn I (i) primitive cubic unit cell (ii) Body centred cubic unit cell (iii) Face centred cubic unit cell (iV) End centred orthohomic unit cell Column -II (a) Each of the three perpendicular edges compulsorily have the different edge length i.e., anebbec (b) Number of atoms per unit cell is one (c) Each of the three perpendicular edges compulsorily have the same edge length i.e., a=b=c (d) In additions to the contribution from the corner atoms the number of atoms present in a unit cell is three.

201 coins each with probability P(0ltPlt1) of showing head are tossed together. If the probability of getting 100 heads is equal to the probability of getting 101 heads, then the value of p is (A) 1/4 (B) 1/3 (C) 1/2 (D) 1/6