A card is drawn from a standard deck of 52 playing cards. what is the probability that the card is a spade and not a face card?
That's the probability that we draw one of the these 10
cards that is a spade but not a face card:
A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠
out of these 52:
A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
That's a probability of 10 out ot 52.
In probability, "out of" means "over", so
the probability is 10 over 52 or
which reduces to
Edwin