Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades? Express your first answer as a fraction in simplest form

Hence the probability of getting 2 spades will be 1/16

Step-by-step explanation:

Given:

Two deck if playing cards

To Find:

Probability that will get two spades

Solution:

As we know that, there 52 playing cards in a deck

and 13 of that are spades

So probability of getting spade from a deck is,

P (spades) = total number of spades / Total number of cards.

P=13/52

P=1/4

Similar for the second deck of card,

Required probability is that, getting spades from each deck

It is given by,

Required probability = Probability of spades in 1st AND Probability of spade in 2nd deck

As there is use of AND operator there should multiplication of two events,

Required probability = 1/4*1/4

=1/16