There are 50 students in our class. (1) What is the probability that Jack and Mike have the same birthday? (2) What is the probability that no one has the same birthday as the professor? (3) What is the probability that there are two and only two having the same birthday?

Question

Mathematics

Mariah Benjamin

5 June, 07:09

There are 50 students in our class. (1) What is the probability that Jack and Mike have the same birthday? (2) What is the probability that no one has the same birthday as the professor? (3) What is the probability that there are two and only two having the same birthday?

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Answers (1)

Know the Answer?

Boston Schultz · Answer 1

1) 0.00274

2) 0.872

3) 0.00240

Step-by-step explanation:

1) 365 / (365*365) = 1/365

= 0.002739726027

= 0.00274 (3 sf)

2) (364/365) ^50

= 0.8718182573

= 0.872 (3 sf)

3) [365 * (364^48) ] / (365^50)

= 0.002401685062

= 0.00240 (3 sf)