When people attend a fundraiser, 40% of them donate money. If three people attend this month's fundraiser -- jane, kate, and liza -- what are the exact chances that just one of them will donate money?"?
Answers
43.2 % chances that just one of them will donate money if 3 attended and 40% of them donate money
Step-by-step explanation:
When people attend a fundraiser, 40% of them donate money.
Probability of donating Amount = 40/100 = 0.4 = p
Probability of not donating Amount = 1 - 0.4 = 0.6 = q
Probability of Happening event x time out of n
= ⁿCₓ pˣqⁿ⁻ˣ
three people attend
exact chances that just one of them will donate money
= ³C₁(0.4)¹(0.6)²
= 3 * 0.4 * 0.6²
= 0.432
= 43.2 %
Another method
Jane Donates but Kate & liza do not donate
Kate donate but jane & liza do not donate
Liza donate but Jane & Kate do nt donate
= (0.4)(0.6)(0.6) + (0.4)(0.6)(0.6) + (0.4)(0.6)(0.6)
= 0.432
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