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alok and bhanu play the following min-max game.given the expression n=19+x*(y-z),where x,y and z are variables representing single digits(0 to 9),alok would like to maximize N while bhanu would like to minimize it. towards this end,alok chooses a single digit number and bhanu substitutes this for a variable of her choice(x,y,z).alok then chooses the next value and bhanu,the variable to substitute the value.fina lly alok proposes the value for the remaining variable.assuming both play to their optimal strategies,the value at the end of the game would be

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The pacelength p is the distance between the rear of two consecutive footprints. for men the formula n/p=144 gives approximate relationship between n and p where n= no. of steps per min and p= pacelength in meters. Bernard knows his pacelength is 164cm. The formula appliies to Bernard's walking. calculate Bernard's walking speed in kmph. after the typist writes 40 letters and addresses 40 envelopes,she inserts the letters randomly into the envelopes(1 letter per envelope).what is the probability that exactly 1 letter is inserted in an improper envelope?