Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

Finally, the probability of getting the remaining ace out of the 49 cards is:

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

P=0.0000037

P=0.00037%

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

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