Thread: How Many Possibilities?

Suppose five cards are drawn from a standard (52 card) deck of cards. From the 5 cards chosen, 3 are red and 2 are black. How many possibilities are there for this hand?

Originally Posted by magentarita

Suppose five cards are drawn from a standard (52 card) deck of cards. From the 5 cards chosen, 3 are red and 2 are black. How many possibilities are there for this hand?

There are twenty-six red and twenty-six black cards.
Choose three reds and two blacks.

Originally Posted by Plato

There are twenty-six red and twenty-six black cards.
Choose three reds and two blacks.

You mean 3/26 + 2/26 or 3/26 times 2/26?

Hello magentarita

Originally Posted by magentarita

You mean 3/26 + 2/26 or 3/26 times 2/26?

Neither. Plato means choose 3 from 26 and then 2 from 26. So the total number of choices is



Grandad

Originally Posted by magentarita

You mean 3/26 + 2/26 or 3/26 times 2/26?

Neither of those.