Probability with Marbles

CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Probability

A glass jar contains 1 red, 3 green, 2 blue and 4 yellow marbles. If a single marble is chosen at random from the jar:

A) Probability of getting a yellow marble is 15\frac{1}{5} B) Probability of getting a green marble is 310\frac{3}{10} C) Probability of getting either a yellow or a green marble is 710\frac{7}{10} D) Probability of getting either a red or a yellow marble is 310\frac{3}{10}

Choose the correct answer from the options given below :

  1. A.

    (A) and (D) only

  2. B.

    (B) and (C) only

  3. C.

    (A) and (C) only

  4. D.

    (B) and (D) only

Answer

B

Explanation

Total marbles = 1+3+2+4=101 + 3 + 2 + 4 = 10.

A) P(yellow) = 410=25≠15\frac{4}{10} = \frac{2}{5} \neq \frac{1}{5}. (Incorrect) B) P(green) = 310\frac{3}{10}. (Correct) C) P(yellow or green) = 4+310=710\frac{4 + 3}{10} = \frac{7}{10}. (Correct) D) P(red or yellow) = 1+410=510=12≠310\frac{1 + 4}{10} = \frac{5}{10} = \frac{1}{2} \neq \frac{3}{10}. (Incorrect)

Thus, statements B and C are correct.

Hence, Option B is correct.

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