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Question

A marble is selected at random from a bag containing 5 red, 4 blue, and 9 green marbles. Which statement(s) below is(are) correct about the selected marble?

A
Probability that selected marble is green is 12
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B
Probability that selected marble is green is 23
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C
Selecting a green marble is an even chance event.
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D
Selecting a green marble is not an equally likely event.
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Solution

The correct option is C Selecting a green marble is an even chance event.
Given:–––––––
Number of red marble in the bag =5
Number of blue marble in the bag =4
Number of green marble in the bag =9

Total number of marbles in the bag = Number of red marble in the bag + Number of blue marble in the bag + Number of green marble in the bag
=5+4+9
=18

Total number of possible outcomes =18

Need to Find:––––––––––––––––
Probability that selected marble is green

Here, favorable outcome is Green Marble
Number of favorable outcomes
= Number of green marbles in the bag
=9

P(green)=Number of favorable outcomesTotal number of possible outcomes

P(green)=918=92×9=12

Since, the probability of selecting the green marble is 12, it is an even chance event.

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