Question

If you ask three strangers about their birthdays, what is the probability:

Answer 1

Part A:

The probability that the birthday of three strangers were on Wednesday is given by

$\left( \frac{1}{7} \right)^3= \bold{\frac{1}{343}}$



Part B:

The probability that the birthday of three strangers were on different days of the week is given by

$\left( \frac{1}{7} \right)\left( \frac{1}{6} \right)\left( \frac{1}{5} \right)= \bold{\frac{1}{210}}$



Part C:

The probability that none of the three strangers were born on Saturday is given by

$\left( \frac{6}{7} \right)^3= \bold{\frac{216}{343}}$