Symbiosis National Aptitude Test SNAP 2014 Paper

Question : 12 of 150

Marks: +1, -0

In a given race the odds in favour of three horses A, B, C are 1 : 3; 1 : 4; 1 : 5 respectively. Assuming that dead head is impossible the probability that one of them wins is

7/60
37/60
1/5
1/8

Validate

Solution:

Suppose

E_1, E_2

and

E_3

are the events of winning the race by the horses A, B and C respectively
∴

P(E_1)

1/{1+3}

1/4

P(E_2)

1/{1+4}

/5

P(E_3)

1/{1+5}

1/6

∴ Probability of winning the race by one of the horses A, B and C
=

P(E_1 \or E_2 \or E_3)

P(E_1)+P(E_2)+P(E_3)

1/4+1/5+1/6

{37}/{60}

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