If you select a card from an ordinary deck of 52 playing cards, what is the probability that a diamond is drawn and that a BLACK 10 or a BLACK 7 is drawn??

Question

If you  select a card from an ordinary deck of 52 playing cards, what is the probability that a diamond is drawn and that a BLACK 10 or a BLACK 7 is drawn??

PsyDAG · Answer

Assuming no replacement, the probability of a diamond is 1/13. Once that is drawn, the probability of a black 10 (spade or club) or a black 7 each is 2/51 (since one card is already drawn).

The "either-or" probability is obtained by adding the individual probabilities, while the "and" probability is obtained by multiplying.

I'll leave the calculation to you.

I hope this helps. Thanks for asking.