Comprehension

Answer these questions (Qs. 77 - 79) based on the following information.

There are 4 red balls, 4 green balls and 6 blue balls, in a box

If one ball is drawn randomly, what is the probability that it is either red or blue 

This question was previously asked in
CSIR-CLRI JSA 2024 Official Paper-I (Held On: 16 Feb, 2025)
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  1. \(\frac{5}{9}\)
  2. \(\frac{7}{9}\)
  3. \(\frac{3}{7}\)
  4. \(\frac{5}{7}\)

Answer (Detailed Solution Below)

Option 4 : \(\frac{5}{7}\)
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Detailed Solution

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Calculation:

Find the total number of balls:

Red balls: 4

Green balls: 4

Blue balls: 6

Total balls: 4 + 4 + 6 = 14

Find the number of red or blue balls:

Red balls: 4

Blue balls: 6

Red or blue balls: 4 + 6 = 10

Calculate the probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

Probability (red or blue) = 10 / 14

Simplify the fraction:

10 / 14 = 5 / 7

Answer:

The probability of drawing a red or blue ball is 5/7.

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