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:

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200