If you are dealt five cards from a shuffled deck of 52 cards find the probability of getting three queens and two kings

The probability of getting three queens and two kings is

Solution:

Given that , you are dealt five cards from a shuffled deck of 52 cards  

We have to find the probability of getting three queens and two kings  

Now, we know that, in a deck of 52 cards, we will have 4 queens and 4 kings.

Probability of first queen:

Probability of second queen:

Here we used 3 for favourable outcome, since we already drew 1 queen out of 4

And now number of outcomes = 52 – 1 = 51

Probability of third queen:

Similarly here favorable outcome = 2, since we already drew 2 queen out of 4

And now number of outcomes = 51 – 1 = 50

Probability for first king:

Here kings are 4, but overall cards are 49 as 3 queens are drawn

Probability for second king:

Here, kings are 3 and overall cards are 48 as 3 queens and 1 king are drawn

And, finally the overall probability to get 3 queens and 2 kings is:

Hence, the probability is

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

x=0

step-by-step explanation: