Question

What is probability of drawing two clubs from a well shuffled pack of 52 cards?

Answer 1

Answer:

$\frac{1}{17}$

Step-by-step explanation:

No. of club cards = 13

Probability = $\frac{\text{favorable outcomes}}{\text{total outcomes}}$

When first card is drawn so, probability of that card being spade :

Favorable outcomes= no. of spade cards = 13

Total outcomes = total no. of cards = 52

So, probability of getting club in first draw = $\frac{13}{52}$

Now since 1 card is drawn so 51 cards are left in pack

Since there were 13 cards of club . 1 card is drawn . so, remaining club card = 12

So, probability of getting club in second draw =  $\frac{12}{51}$

So, probability of getting two clubs from a well shuffled pack of 52 cards :

=$\frac{13}{52}\times\frac{12}{51}$

=$\frac{1}{17}$

Thus  probability of drawing two clubs from a well shuffled pack of 52 cards is $\frac{1}{17}$

Answer 2

Step-by-step explanation:

Answer is

➠\frac{1}{17}