Two cards are drawn from a deck of 52 cards. What is the probability that the first card drawn is a king and the second card drawn is a heart, given that the first card is
replaced? (Hint: A deck has 4 kings and 13 hearts)

1) P(First card was a king) =  1/13 2.) 1/4

Step-by-step explanation:

1) P(First card was a king) = n(King)/n(Total) = 4/52 = 1/13

2. P(Heart)13/52 = 1/4

1/52

Step by step explanation:

First, find the probability that the first card will be a King. Since there are 4 possible kings, and 52 cards, the probability is 4/52.

Then, find the probability that the second card will be a heart. "given that the first card is replaced" means that there are 13 possible hearts regardless of the suit of the first card. So 13/52 is the probability.

To find the probability of both occurrences, multiply them.

4/52 * 13/52 = 52/2704

52/2704 can be simplified to 1/52. So that is the probability that the first card will be a king and the second card will be a heart.

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)