एक थैले में 3 सफेद और 2 लाल गेद हैं यदि एक गेदं यादृचया निकाली जाए तो निकाली गई गेद के लाल होने की प्रायिकता होगी -

Options

A. `1/2`
B. `2/3`
C. `1/5`
D. `2/5`

Answer

**Step-by-Step Solution:**

1. **Identify the total number of beads in the bag:**
- There are 3 white beads and 2 red beads.
- Total beads = Number of white beads + Number of red beads
- Total beads = 3 + 2 = 5

2. **Determine the number of favorable outcomes:**
- The favorable outcome here is drawing a red bead.
- Number of red beads = 2

3. **Use the probability formula:**
- Probability (P) of an event is given by the formula:
\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- Here, the event is drawing a red bead.
- So, we can substitute the values into the formula:
\[ P(\text{red bead}) = \frac{\text{Number of red beads}}{\text{Total beads}} = \frac{2}{5} \]

4. **Conclusion:**
- Therefore, the probability of drawing a red bead from the bag is \(\frac{2}{5}\).

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