Acard is drawn from a regular deck of 52 cards and is then put back in the deck. a second card is drawn. what is the probability that:

(a) the first card is red.
(b) the second card is hearts given that the first is red.
(c) the first card is red and the second is hearts.

0.5,0.25,0.125

Step-by-step explanation:

Given that a card is drawn from a regular deck of 52 cards and is then put back in the deck. A second card is drawn.

Since here we have the draws with replacement we can say each trial is independent of the other.

i.e. the first card does not affect the second card at all.

the probability that:

a) The first card is red.

=

(b) The second card is hearts given that the first is red.

=P(second is hearts)

= 0.25

(c) The first card is red and the second is hearts.

=

(since independent)

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: