(a) Eight coins are tossed at once. Find, correct to three decimal places, the probability of obtaining : (i) exactly 8 heads ; (ii) at least 5 heads ; (iii...

(a) Eight coins are tossed at once. Find, correct to three decimal places, the probability of obtaining :

(i) exactly 8 heads ; (ii) at least 5 heads ; (iii) at most 1 head.

(b) In how many ways can four letters from the word SHEEP be arranged (i) without any restriction ; (ii) with only one E.