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In a stadium there are four stands Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand in which seats are alloted to commuters. The number of vacant  seats in Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand are 11, 8, 13 and 7 respectively. Anil is buying a ticket find the probability that he get a seat in Venkatesh Prasad stand.

In a stadium there are four stands Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand in which seats are alloted to commuters. The number of vacant  seats in Rajiv Gandhi stand, Sunil Gavaskar stand, Venkatesh Prasad stand and Pt. Din Dayal stand are 11, 8, 13 and 7 respectively. Anil is buying a ticket find the probability that he get a seat in Venkatesh Prasad stand. Correct Answer 1/3

 

Given:

Total number of vacant seats = 39

Total number of vacant seats in Venkatesh Prasad stand = 13

Formula:

 ncr = n!/(r!(n-r)!)

P(E) = Total favourable outcomes/Total outcomes

Calculation:

Total favourable outcomes =  13C1

Total outcomes = 39C1

Required probability=  13C1/39C1

 

⇒Required probability= 13/39

∴ The probability that he get a seat in Venkatesh Prasad stand is 1/3

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