We want to find the probability of randomly drawing a diamond card and then a spade card of a standard deck.
The probability is P = 0.064
Now let's see how to get that:
Assuming that each card has the same probability of being randomly drawn, the probability of randomly drawing a diamond card is equal to the quotient between the number of diamond cards in the deck and the total number of cards in the deck.
In a standard deck, we have 52 cards, and 13 of them are diamonds, then this probability is:
p = 13/52
Now we want to compute the same for drawing a spade card, the thing is that we have already drawn a diamond card at this point, so now we have a deck of 51 cards and 13 of them are spades, then the probability of drawing a spade is:
q = 13/51
The joint probability, the probability of both of these events happening together, is just the product of the individual probabilities.
We will get:
P = q*p = (13/51)*(13/52) = 0.064
If you want to learn more, you can read:
https://brainly.com/question/22683107
