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Priyanka has 8 red hair clips and 12 gre...

Priyanka has 8 red hair clips and 12 green hair clips. She chooses a hair clip randomly. Find the probability that the chosen hair clip is of green colour.

A

`(5)/(3)`

B

`(7)/(12)`

C

`(1)/(6)`

D

`(3)/(5)`

Text Solution

AI Generated Solution

The correct Answer is:
To find the probability that the chosen hair clip is of green color, we can follow these steps: ### Step 1: Identify the number of each type of hair clip. - Priyanka has 8 red hair clips. - Priyanka has 12 green hair clips. ### Step 2: Calculate the total number of hair clips. - Total number of hair clips = Number of red hair clips + Number of green hair clips - Total number of hair clips = 8 + 12 = 20 ### Step 3: Determine the number of favorable outcomes. - The favorable outcomes for choosing a green hair clip is the number of green hair clips. - Number of green hair clips = 12 ### Step 4: Use the formula for probability. - Probability (P) of choosing a green hair clip = (Number of favorable outcomes) / (Total number of outcomes) - P(green hair clip) = Number of green hair clips / Total number of hair clips - P(green hair clip) = 12 / 20 ### Step 5: Simplify the fraction. - To simplify 12/20, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4. - P(green hair clip) = (12 ÷ 4) / (20 ÷ 4) = 3 / 5 ### Final Answer: The probability that the chosen hair clip is of green color is **3/5**. ---
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