question_answer

Two coins are tossed simultaneouses. Find P, Q and R respectively.

Number of Heads		Required probability
(i)	0	P
(ii)	1	Q
(iii)	2	R

A)                                \[\frac{1}{2},\frac{1}{4},\frac{1}{4}\]              

B) \[\frac{1}{4},\frac{1}{4},\frac{1}{2}\]               

C)              \[\frac{1}{4},\frac{1}{2},\frac{1}{4}\]              

D)  \[\frac{1}{2},\frac{1}{2},\frac{1}{4}\]

Correct Answer: C

Solution :

Total outcomes ={HH, TT, HT, TH} i.e. 4 in number (i) Favourable outcomes when there is no head                         ={TT}i.e., 1 in number. Number of favourable outcomes = 1 Required probability (ii) Favourable outcomes when there is 1 head = {HT, TH} i.e., 2 in number Number of favourable outcomes = 2 Required probability (iii) Favourable outcomes when there are 2 heads             ={HH} i.e., 1 in number. Number of favourable outcomes = 1 Required probability