Here is a table showing all 52 cards in a standard deck.

a) The probability that a card drawn is a heart is 1 out of 4.

b) The probability that a card drawn is a face card is 3 out of 13.

c) The probability that a card drawn is either a face or a heart card is 11 out of 26.

Step-by-step explanation:

a) This question asks your ability to examine that from the total number of cards, what is the random probability that you'll pull out a heart card. That should be 13/52, and simplified, it is 1/4.

b) This question asks your ability, like in a), to examine the probability of pulling a face card out of all the cards, which is 12/52 or 3/14.

c) From all the cards, 13 are hearts and 12 are face cards. But of the 12 face cards, 3 are hearts, so we only have 9, giving us 22/52, simplify it, you get 11 out of 26.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.