Mathematics, 29.07.2020 21:01 eduardoma2902

You are dealt two card successively without replacement from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second is a queen. Round to nearest thousandth

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Answer from: sarinaneedshelp01

0.078

Step-by-step explanation:

The probability P(A) of an event A happening is given by;

P(A) = $\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}$

From the question;

There are two events;

(i) Drawing a first card which is a king: Let the event be X. The probability is given by;

P(X) = $\frac{number-of-possible-outcomes-of-event-X}{total-number-of-sample-space}$

Since there are 4 king cards in the pack, the number of possible outcomes of event X = 4.

Also, the total number of sample space = 52, since there are 52 cards in total.

P(X) = $\frac{4}{52}$ = $\frac{1}{13}$

(ii) Drawing a second card which is a queen: Let the event be Y. The probability is given by;

P(Y) = $\frac{number-of-possible-outcomes-of-event-Y}{total-number-of-sample-space}$

Since there are 4 queen cards in the pack, the number of possible outcomes of event Y = 4

But then, the total number of sample = 51, since there 52 cards in total and a king card has been removed without replacement.

P(Y) = $\frac{4}{51}$

Therefore, the probability of selecting a first card as king and a second card as queen is;

P(X and Y) = P(X) x P(Y)

= $\frac{1}{13} * \frac{4}{51}$ = 0.078

Therefore the probability is 0.078

Answer from: Quest

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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