Respuesta :
If they are replaced, then the two events become independent of each other.
So, it becomes, what is the probability that you will pick a black card? Since there are an equal amount of red and black, you will have 1/2 chance.
Now, what is the probability of selecting a heart? Well, we have 4 suits, so you'll have a 1 in 4 chance at selecting a heart.
Since we want them simultaneously, we have to multiply them together to yield: 1/8
So, it becomes, what is the probability that you will pick a black card? Since there are an equal amount of red and black, you will have 1/2 chance.
Now, what is the probability of selecting a heart? Well, we have 4 suits, so you'll have a 1 in 4 chance at selecting a heart.
Since we want them simultaneously, we have to multiply them together to yield: 1/8