Question

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?

Answer 1

Answer:

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)