Answer:
The probability of red heart is: [tex]\frac{13}{26} =\frac{1}{2}[/tex]
The probability of spadelking is: [tex]\frac{1}{4}[/tex]
The probability is: [tex]\frac{1}{3}[/tex]
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: [tex]\frac{13}{26} =\frac{1}{2}[/tex]
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: [tex]\frac{1}{4}[/tex]
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: [tex]\frac{1}{3}[/tex]
