A bag contains 3 green, 4 blue and 2 orange marbles. If a marble is picked at random then find the probability of not getting an orange marble:

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 4/9
  2. 7/9
  3. 1/4
  4. 1/3

Answer (Detailed Solution Below)

Option 2 : 7/9
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Given:

Total marbles in the bag:

Green marbles = 3

Blue marbles = 4

Orange marbles = 2

Total marbles = 3 + 4 + 2 = 9

Marbles that are not orange = Green marbles + Blue marbles = 3 + 4 = 7

Formula Used:

Probability = (Favorable outcomes) / (Total outcomes)

Calculation:

Favorable outcomes = Number of marbles that are not orange = 7

Total outcomes = Total marbles = 9

Probability of not getting an orange marble:

⇒ Probability = 7 / 9

The probability of not getting an orange marble is 7/9 .

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