Question

At a lucky draw 33 people are contending for a prize. of this, 4 people belong to one family. What is the chance that the winner will be from this family?*


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Answer 1

Answer:

⠀⠀⠀⌬ Total people = 33

⠀⠀⠀⌬ People from same home = 4

⠀⠀⠀⌬ Chance of winner from family= ?

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Chance\:of\:winning=Probability\:of\:Event\\\\\\:\implies\sf Probability\:of\:Event=\dfrac{Number\:of\:Event}{Total\:Number\:of\:Event}\\\\\\:\implies\sf P(E)=\dfrac{People\:from\:same\:family}{Total\:People\: participating}\\\\\\:\implies\sf P(E) = \dfrac{4}{33}\\\\\\:\implies\sf P(E) = 0.12$

⠀

$\therefore\:\underline{\textsf{Hence, chance of winner from that family is \textbf{0.12}}}.$

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FACTS :

• Probability of any event falls b/w 0 and 1

• 0 indicates uncertainty of event, while 1 indicates certainty of event

• 0 ≤ P(E) ≤ 1

• P(E) + P(not E) = 1