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?

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)

10

step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !