there are two fair coins .coin 1 is tossed 3 times .let X be the no. of heads that occur.after this coin 2 is tossed X times.let Y be the no. of heads that occur. the prob, that (X>=2/Y=1) EQUALS..
a)1/2
b)4/7
c)2/3
d)10/18
2. sania"s boat is at point A on the sea. the closest point on land , point B ,Is 2 km away. point C on land is 6km from point B such that triangle ABC is right angled at B. sania wants to reach pont c by rowing to some point P on the line BC and jog the remaining distance to C. if she rows 2 km/hr and jogs 5 km /hr at what distance from B should she choose her landing point P in order to minimize her time to reach point C?
X=0 with probability 1/8 Y=0 with probability 1
X=1 with probability 3/8 Y=0 with probability 1/2 or Y=1 with probability 1/2
X=2 with probability 3/8 Y=0 with probability 1/4 or Y=1 with probability 1/2 or Y=2 with probability
1/4
X=3 with probability 1/8 Y=0 with probability 1/8 or Y=1 with probability 3/8 or Y=2 with probability
3/8 or Y=3 with probability 1/8
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