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Question

A box contains 20 tickets, some are black and others are red. If a ticket is drawn at random from the box, the probability of getting a red ticket is 14. Find the number of black tickets in the box. 


A
5
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B
15
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C
10
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D
12
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Solution

The correct option is B 15
Given, probability of getting a red ticket = 14
Total no. of red ticket in the box = 20
P (drawing a red ticket )=no.  of  red  tickets in the  boxtotal no. of tickets in the box

As probability of getting red ticket is given, Assume there are  'x' no. of red tickets.
Favorable no. of outcomes = x
  14= x20
x=5
Number of black tickets in the box =205=15

Mathematics

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