From a pack of cards with two jokers, one card is drawn out. Find the probability of: (i) getting a joker.
(ii) getting a face card (J, Q and K are
called face cards).
(iii) getting a red ace.​

1/28, 3/14, 1/28

Step-by-step explanation: There are two Jokers in the deck. This is 2/56 chance, which is reduced to 1/28. There are 12 face cards: 4 Kings, 4 Queens, and 4 Jacks. This is 12/56, which reduces to 3/14. There are two red aces: The Ace of Diamonds and the Ace of Hearts. This is a s2/56 chance, which reduces to 1/28 chance.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: