Question $22$

$4$ pts

DEGREES

If we select $5$ degrees with replacement, what is the probability that at least one of them will be a Doctoral degree?

$1-(\frac{76}{313}**\frac{75}{312}**\frac{74}{311}**\frac{73}{310}**\frac{72}{309})$

$1-(\frac{76}{313}**\frac{76}{313}**\frac{76}{313}**\frac{76}{313}**\frac{76}{313})$

$\frac{76}{313}**\frac{75}{312}**\frac{74}{311}**\frac{73}{310}**\frac{72}{309}$

$\frac{237}{313}**\frac{236}{312}**\frac{235}{311}**\frac{234}{310}**\frac{233}{309}$

$\frac{237}{313}**\frac{237}{313}**\frac{237}{313}**\frac{237}{313}**\frac{237}{313}$

$1-(\frac{237}{313}**\frac{237}{313}**\frac{237}{313}**\frac{237}{313}**\frac{237}{313})$

$\frac{76}{313}**\frac{76}{313}**\frac{76}{313}**\frac{76}{313}**\frac{76}{313}$

$1-(\frac{237}{313}**\frac{236}{312}**\frac{235}{311}**\frac{234}{310}**\frac{233}{309})$