Acard is drawn from a deck of 52. find the probability that the card is a heart, given that the card is red. that is, find p(heartlred). tip: restrict sample space. (2) conditional probability: a card is drawn from a deck of 52. find the probability that the card is a spade, given that the card is a king. that is, find p(spadelking). (3) given the sample space: {1, 2, 3, 4, 5, 6), find the probability that the number is a 2, given that the number is even. that is, find p(2lthe number is even).

The probability of red heart is:

The probability of spadelking is:

The probability is:

Step-by-step explanation:

Consider the provided information.

Part(A) Find the probability that the card is a heart, given that the card is red.

In a deck of 52 card we have 26 red cards in which 13 are heart.

Thus, the probability of red heart is:

Part(B) Find the probability that the card is a spade, given that the card is a king. That is, find P(spadelking).

In a deck of 52 card we have only 4 king cards out of which only 1 is spade king.

Thus, the probability of spadelking is:

Part(C) Given the Sample Space:{1, 2, 3, 4, 5, 6}, find the probability that the number is a 2, given that the number is even. That is, find P(2lthe number is even).

Consider the provided sample space, there are 3 even numbers in the provided sample space.

We need to find the probability that the number is a 2 given that the number is even.

Thus, the probability is: