One card is selected at random from an ordinary set of 52 cards. Find the probability of each of the following events:
b. A spade and a 5 are drawn. 1/52
Correct.
the question is not very clear
you say one card is drawn and then ask for the prob of a spade AND a 5. That suggests two cards are drawn.
Did you mean "the 5 of spades" ?, that is the answer that PsyDAG agreed with.
If 2 cards are actually drawn then the prob would be
C(13,1)xC(4,1)/C(52,2) = 52/1326
= 2/51
To find the probability of drawing a spade and a 5 from a deck of cards, we need to determine the number of favorable outcomes and the number of possible outcomes.
There are 52 cards in a standard deck, and 4 suits (spades, hearts, diamonds, and clubs). Each suit contains 13 cards (ace through king).
To calculate the probability, we need to find the number of spade 5 cards in the deck. There is only one 5 of spades in the deck.
The number of favorable outcomes is 1 (the 5 of spades), and the number of possible outcomes is 52 (the total number of cards in the deck).
Therefore, the probability of drawing a spade and a 5 is 1/52.