sharon has knitted 5 scarves, 3 of them are purple . if she chooses one of the scarves at random , what is the probability that is purple ?

To find the probability that Sharon picks a purple scarf at random, we use the formula for probability:

\[
P(\text{Purple}) = \frac{\text{Number of purple scarves}}{\text{Total number of scarves}} 
\]

Here, Sharon has knitted **5 scarves** in total, and **3 of them are purple**. Thus, the probability is:

\[
P(\text{Purple}) = \frac{3}{5}
\]

So, the probability that she picks a purple scarf is \( \frac{3}{5} \), or 0.6, which is 60%.

Would you like any more details or explanations?

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Here are 5 related questions to expand on this topic:
1. What is the probability that Sharon picks a non-purple scarf?
2. If Sharon knits 2 more scarves, one of which is purple, how does the probability change?
3. What are the odds (in ratio form) of selecting a non-purple scarf?
4. If Sharon gives away one random scarf, how would the probability change for the next random pick being purple?
5. How would the probability change if all scarves were equally likely to be picked except for one purple scarf, which was twice as likely?

**Tip**: When calculating probabilities, always ensure that the total number of possible outcomes is correct to avoid common mistakes.

sharon has knitted 5 scarves, 3 of them are purple. if she chooses one of the scarves at random, what is the probability that it is purple?

Discover how to calculate the probability of selecting a purple scarf when Sharon has knitted 5 scarves, with 3 of them being purple. This solution provides a step-by-step guide to understanding probability concepts, ratios, and basic probability theorems. Suitable for Grades 5-7.

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