Answer

Verified

419.4k+ views

**Hint:**Calculate the total number of cards having king or a queen. We use the method for probability to find the probability of getting a king or a queen.

* Probability of an event is given by the number of possibilities divided by total number of possibilities.

**Complete answer:**

We know a deck contains 52 cards where there are 4 kings and 4 queens.

Total number of cards having king or a queen \[ = 4 + 4 = 8\]

Now we find the probability of choosing a king card or a queen card from a deck of 52 cards.

Probability is given by dividing the number of cards to choose from by total number of cards available.

Probability \[ = \dfrac{8}{{52}}\]

Writing the numerator and denominator in factored form

Probability \[ = \dfrac{{2 \times 4}}{{13 \times 4}}\]

Cancel out the same terms from numerator and denominator.

Probability \[ = \dfrac{2}{{13}}\]

Thus, probability of choosing one card from deck of 52 cards such that the card is a king or a queen is \[\dfrac{2}{{13}}\]or 0.15

**\[\therefore \]Option C is correct.**

**Note:**

Students should always check their answer of probability should be less than or equal to one and greater than or equal to zero. Students many times try to solve the combination formula by opening the factorial but that makes the solution complex instead try to cancel out as many factorial terms as you can from numerator and denominator. Many students try to apply a combination method which is not required here as we don’t have to choose and it is specified that we have to draw a card in a single draw so we don’t have to check if it will be king or queen it can be any card.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE