What is the approximate probability that no people in a group of seven have the same birthday?
(A) 0.056
(B) 0.43
(C) 0.92
(D) 0.94

Respuesta :

Answer: (D) 0.94

P(7 distinct birthdays) = 363/365 = 0.9438 (0.94)

The probability that no people in a group of seven have the same birthday is; D: 0.94

How to find the probability?

The probability that no people in a group of seven have the same birthday is;

P(no two people in a group of seven) = P(1) * P(2) * P(3) * P(4) * P(5) * P(6) *P(7)

⇒ 365/365 * 364/365 * 363/365 * 362/365 * 361/365 * 360/365 * 359/365 = 0.9438 ≈ 0.94

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