a)In a science class 2/3 of the class are boys and the rest are girls. 80% of the boys and 90% ofthe girls are right handed and the rest are left handed. The probability that a right handed studentwill break a test-tube in any session is 1/10 and the corresponding for the left handed student is 3/10,their probability being independent of the student sex .

Draw the probability tree diagram for the above given information

Using the tree diagram, find the probability that:

i.A student chosen from the class is left handed

ii.A test-tube is broken by a left handed student

iii.A test-tube is broken by a right handed student

A test-tube is not broken in any session