Question

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 \(\frac{1}{5}\)
(B) Probability of getting a green marble is \(\frac{3}{10}\)
(C) Probability of getting either a yellow or a green marble is \(\frac{7}{10}\)
(D) Probability of getting either a red or a yellow marble is \(\frac{3}{10}\)
Choose the correct answer from the options given below:

• (A) and (D) only
• (B) and (C) only
• (A) and (C) only
• (B) and (D) only

Answer 1

The Correct Option is B

The total number of marbles is \( 1 + 3 + 2 + 4 = 10 \).

A) Probability of getting a yellow marble is \( \frac{4}{10} = \frac{2}{5} \), not \( \frac{1}{5} \).

B) Probability of getting a green marble is \( \frac{3}{10} \), which is correct.

C) Probability of getting either a yellow or a green marble is \( \frac{4+3}{10} = \frac{7}{10} \), but this does not match the correct answer.

D) Probability of getting a red or yellow marble is \( \frac{1+4}{10} = \frac{5}{10} \), which is \( \frac{3}{10} \) as given.