Read the following passage and answer the questions given at the end:

**Diwali Fair**

A game in booth at Diwali fair involves using of spinner first. Then, if the spinner stops at an even number, th

Question

Read the following passage and answer the questions given at the end:

**Diwali Fair**

A game in booth at Diwali fair involves using of spinner first. Then, if the spinner stops at an even number, the player is allowed to pick a marble from bag. The spinner and the marbles in the bag are represented in Figure 8.

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Prizes are given, when a black marble is picked. Shweta plays the game once.

(i) What is the probability that she will be allowed to pick a marble from the bag?

(ii) Suppose she is allowed to pick a marble from the bag, what is the probability of getting a prize, when it is given that the bag contains $20$ balls out of which $6$ are black?

Accepted Answer

Step 1: (i) Even numbers on spinner: $2, 4, 6, 8, 10$ (5 out of 6). $P(	ext{picking marble}) = \frac{5}{6}$
Step 2: (ii) Total balls $= 20$, black balls $= 6$.
Step 3: $P(	ext{getting a prize}) = \frac{6}{20} = \frac{3}{10}$

Question

Solution