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6. Team A has probability 2/3 of winning whenever it plays.suppose A plays four Games.find the probability p that A wins more than half of its gamed.


Prove that if 30 dictionaries in a library contains a total of 61,327 pages, then at least one of


the dictionaries must have at least 2045 pages.

Find the least number of ways of choosing three different numbers from 1 to 10 so that all


choices have the same sum?

1. List all elements in A. A={xΟ΅N:(3x2-x)<55}


Solve the following set of recurrence relations and initial conditions an = 4anβˆ’1 + n 2 βˆ’ n , n β‰₯ 1; a0 = 1?


((𝑝 β†’ π‘ž) ∧ (π‘ž β†’ π‘Ÿ)) β†’ (𝑝 β†’ π‘Ÿ)


Let the proposition p be T and proposition q be F. Find the truth value of the following



a. p^β€Ίq

A pair of dice is loaded. The probability that a 4 appears on the first die is 2/7, and the


probability that a 3 appears on the second die is 2/7. Other outcomes for each die appear


with probability 1/7. What is the probability of 7 appearing as the sum of the numbers


when the two dice are rolled?

How many edges are there in a graph with 15 vertices each with degree 8?


draw the hasse diagram for the set S=[0,10,20,30,40]


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