Katy chose a card at random from a deck of 52 cards. katy replaced the first card and then chose a second card. what is the probability that katy chose a diamond both times?

Our required probability is

Step-by-step explanation:

Since we have given that

Number of cards in deck = 52

Number of diamond in a deck = 13

So, Probability of getting diamond in first time =

she replaced the first card, then chose a second card.

So, probability of getting diamond second time =

So, Probability that she chose a diamond both times is given by

Hence, our required probability is

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1