Answer:
The probability that Sonia picks a yellow hair clip and a blue hair clip without replacement =
Step-by-step explanation:
Given:
Sonia has:
5 yellow hair clips
2 red hair clips
3 blue hair clips
To find the probability that she picks a yellow hair clip and a blue hair clip without replacement.
Solution:
Total number of clips = = 10
The probability that Sonia picks a yellow clip from the lot will be :
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Simplifying fraction by dividing both numbers by their G.C.F.
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<em>Since no replacement is taking place, so after picking a yellow clip from the lot, the number of clips is decreased by 1.</em>
So, new number of clips = = 9
The probability that Sonia picks a blue clip from the remaining lot will be :
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Simplifying fraction by dividing both numbers by their G.C.F.
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The probability that she picks a yellow hair clip and a blue hair clip without replacement can be given as:
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⇒ (Answer)