Suppose you have a deck of 52 cards. Let: A: draw a 7
B: draw a diamond

Find the probability of A U B and write as a fraction​

19/52

Step-by-step explanation:

A U B= A + B - A ∩ B

A= 7/52

B= 13/52

A∩B= 1/52 (it's 1/52 because there is only one 7 of diamonds in the deck)

7/52+13/52-1/52= 19/52

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

what is the rest of the question? ?