In a large school,80% of the pupils like mathematics.A visitor to the school asks each of 4 pupils,chosen at random,whether they like mathematics.(i)Calculate the probabilities of obtaining an answer yes from 0,1,2,3,4 of the pupils.

In a large school,80% of the pupils like mathematics.A visitor to the school asks each of 4 pupils,chosen at random,whether they like mathematics.(ii)Find the probability that the visitor obtains the answer yes from atleast 2 pupils:(a)when the number of pupils questioned remains at 4.(b)When the number of pupils questioned is increased to 8.

Select and write the correct answer from the given alternatives in each of the following: If z_1 = 3 + 4i and z_2 = 4 - 3i , then

Select and write the correct answer from the given alternatives in each of the following:The matrix [[2,0,-3],[1,-1,4]] is a

Two digit numbers are formed from the digits 0, 1, 2, 3, 4 where are not repeated. Find the probability of each of the events that the number formed is an even number.

In four schools B_1, B_2, B_3, B_4 the percentage of girls students is 12, 20, 13, 17 respectively. From a school selected at random, one student is picked up at random and it is found that the student is a girl. The probability that the school selected is B_2 , is

Select and write the correct answer from the given alternatives in each of the following:The matrix [[3,1,2],[0,-2,4],[5,6,3]] is a