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Numerical Ability
Probability
3 cars A, B & C are in the race. A is twice as likely to win as B and B is thrice as likely to win as C. what is probability that B will win, if only one can win the race ?
a) 1/2 b) 2/5 c) 3/10 d) 1/10
Read Solution (Total 7)
-
- ANS= 3/10
LET C=X
B=3X
A=6X
THEN B'S PROBABILITY= 3X/(X+3X+6X)
B'S = 3/10 - 12 years agoHelpfull: Yes(91) No(0)
- ans B'S probability to win =310.
let c's winning probability to win is =x
then b=3x
a=6x
then b's winning probability =3x(x+6x+3x)
b=310. - 12 years agoHelpfull: Yes(10) No(11)
- let B's ability is x
A is twice as likely to win as B,so A's ability is 2x
C's ability is x/3
A :B: C --> A :B :C
2x:x :x/3 --> 4x:3x :x
so probability that B will win is 3x/(4x+3x+x)=3x/10x=3/10(ans)
- 12 years agoHelpfull: Yes(5) No(4)
- ans is 3/10
p(A)=2p(B)
p(B)=3p(C)
so,A's prob is 6/10,B's prob is 3/10,C's prob is 1/10
since,p(S)is 10. - 12 years agoHelpfull: Yes(2) No(2)
- here, A is twice as likely as B so A:B=2:1
and B is thrice as likely as C so B:C=3:1
then A:B:C=6:3:1
from this B's probability is 3/10 - 9 years agoHelpfull: Yes(1) No(0)
- @parag : plz tel me if asked abt prob of a than wat will b the ans ??
- 12 years agoHelpfull: Yes(0) No(1)
- LET C - X , B - 3X, A - 6X
TOTAL PROBABILITY = 1
A + B + C =1
10 X =1
X = 1/10 SO, B'S 3X = 3/10
- 8 years agoHelpfull: Yes(0) No(0)
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