In a zoo, there are 15 rabbits and 10 rhinos. Three animal are selected at random. The probability t

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18 Dec 2019 Probability

In a zoo, there are 15 rabbits and 10 rhinos. Three animal are selected at random. The probability that 1 rhino and 2 rabbits are selected, is:

OPtion

1) 1025/2300
2) 1040/2300
3) 1050/2200
4) 1060/2300
5) 1075/2300
6) 19/45
7) 21/46
8) 22/45
9) 23/46
10) None of these

Solution

Number ways of selecting 3 animal out of 25 = 25C3 = 2300
Number of ways that 1 rhino and 2 rabbits are selected = 10C1×15C2 = 1050

P(E) = 1050/2300 = 21/46

Correct Option: 7 Best Solution (6)