Answer :
Answer:
Given and Find:
★ How many randomly assembled people are needed to have a better than 50% probability that at least 1 of them was born in a leap year?
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We know that:
★ Probability of getting leap year for a single person = [tex]\sf{\dfrac{1}{4}}[/tex]
★ The term "n" refers the number of possible chances.
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Calculations:
→ [tex]\sf{1 - \bigg(\dfrac{3}{4}\bigg)^{n}}[/tex]
→ [tex]\sf{\bigg(\dfrac{3}{4}\bigg)^{n} \: lesser \: than \: \bigg(\dfrac{1}{2}\bigg)}[/tex]
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- 1/2 = 50℅
- 1/4 = 25℅
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Therefore, the probability of getting the 50℅ needs least 2 people.