Two cards are drawn at random from an ordinary deck of 52 cards. Determine the probability that both cards are queens if a. the first card is replaced before the second card is drawn. b. the first card is not replaced before the second card is drawn.

There is a probability of 5,9% of getting two queens if the card is replaced.

There is a probability of 4.5% of getting two queens if the card is not replaced.

Step-by-step explanation:

There are 4 queens in the 52 cards deck.

So there is a probability of 4 in 52 of getting a queen in the first draw.

a. If the the card is replaced, the probabilty of getting two queens in a row is:

There is a probability of 5,9% of getting two queens if the card is replaced.

b. If the card is not replaces, the deck is left with 51 cards, in which 3 of them are queens.

So the probability in this case of getting 2 queens in a row is:

There is a probability of 4.5% of getting two queens if the card is not replaced.

The difference in pay between the two jobs will be $2,300

Step-by-step explanation:

Here, we want to know the difference in pay between the two jobs after taxes;

Now, since both jobs will require the same deduction in taxes, it means the difference between both after taxes is the same difference between both before taxes.

Hence, by calculating the difference between both salary before taxes, we can get the ‘would be difference’ between both salaries after taxes.

So the difference in pay between both jobs will be;

44,400 - 42,100 = $2,300