QUESTION OF THE DAY: Josie has a deck of cards and pulls a total of 30 cards, putting each card back into the deck. The deck has hearts, spades, clubs, and diamonds in it. The image provided shows the result data of the cards she drew. What is the experimental probability that the next card she draws is a heart?QUESTION OF THE DAY: Josie has a deck of cards and pulls a total of 30 cards, putting each card back into the deck. The deck has hearts, spades, clubs, and diamonds in it. The image provided shows the result data of the cards she drew. What is the experimental probability that the next card she draws is a heart?

25%

Step-by-step explanation:

it doesn't matter what she drew already, because she still has four suits that she can possably draw next, unless 13/30 were one suit

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: