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Question

Question: In a lottery there were 90 tickets numbered 1 to 90. Five tickets were drawn at random. The probabil...

In a lottery there were 90 tickets numbered 1 to 90. Five tickets were drawn at random. The probability that two of the tickets drawn numbers 15 and 89 is

A

2801\frac { 2 } { 801 }

B

2623\frac { 2 } { 623 }

C

1267\frac { 1 } { 267 }

D

1623\frac { 1 } { 623 }

Answer

2801\frac { 2 } { 801 }

Explanation

Solution

Required probability =88C390C5=2801= \frac { { } ^ { 88 } C _ { 3 } } { { } ^ { 90 } C _ { 5 } } = \frac { 2 } { 801 }.