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Question

There are 7 red and 9 purple marbles in a bag of marbles. Scarlett picks one marble at random from the bag. What is the possibility that she did not pick a purple marble?

A
P(red marble)
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B
1P(purple marble)
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C
716
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D
916
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Solution

The correct option is C 716
Given:–––––––
Number of red marbles in the bag =7
Number of purple marbles in the bag =9

Total number of marbles in the bag = Number of red marbles + Number of purple marbles
=7+9
=16

Total number of possible outcomes =16

Need to Find:––––––––––––––––
Probability that the picked marble is NOT purple

Note:––––––
The complement rule of probability can also be used to calculate the probability of a non-purple marble as
P(not purple marble)=1P(purple marble).

So, let's first find the probability of purple marble, i.e., P(purple marble)

Number of favorable outcomes
= Number of purple marbles
=9

P(purple marble)=Number of favorable outcomesTotal number of possible outcomes

P(purple marble)=916

P(not purple marble)=1P(purple marble)

P(not purple marble)=1916

P(not purple marble)=1616916

P(not purple marble)=16916

P(not purple marble)=716=P(red marble)

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