Two cards are selected from a standard deck of 52 playing cards. the first is replaced before the second card is selected. find the probability of selecting a diamonddiamond and then selecting aa queenqueen.

 standard deck of 52 playing cards

hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A > 13 cards

clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A > 13 cards

spades: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A > 13 cards

diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A > 13 cards

 a)  The probability of selecting a diamond is 13/52

b)  The probability of selecting a queen is 4/52

c)   The probability of selecting a diamond and then selecting a queen is

(13/52)*(4/52)=0.0192>1.92%

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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the graph on the bottom right