Question 9

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 :

Solution

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, the probability of getting a yellow marble =$$\frac{\text{no of yellow marbles}}{\text{Total no of mables}}$$= $$\frac{4}{10}$$

Probability of getting a green marble = $$\frac{\text{no of green marbles}}{\text{Total no of mables}}$$ = $$\frac{3}{10}$$

Probability of getting either a yellow or a green marble = $$\frac{\text{no of yellow or green marbles}}{\text{Total no of mables}}$$ = $$\frac{4+3}{10}$$ = $$\frac{7}{10}$$

Probability of getting either a red or a yellow marble = $$\frac{\text{no of yellow or red marbles}}{\text{Total no of mables}}$$ = $$\frac{4+1}{10}$$ = $$\frac{5}{10}$$

So, only B, C are correct.


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