PLEASE HELP!! WILL FAN AND MEDAL!!

Linda is playing a game where she is trying to draw a diamond from a standard deck of cards. If she doesn't get a diamond, she replaces the card, shuffles the deck, and tries again. If she draws a card 4 times and doesn't get a diamond, she loses. What is the probability that Linda loses the game?

Question

PLEASE HELP!! WILL FAN AND MEDAL!!

Linda is playing a game where she is trying to draw a diamond from a standard deck of cards. If she doesn't get a diamond, she replaces the card, shuffles the deck, and tries again. If she draws a card 4 times and doesn't get a diamond, she loses. What is the probability that Linda loses the game?

anonymous · Answer

there are four suits 
one of which is diamonds
three of which are not 
so three out of four

hockeychick23 · Answer

Yea that would be a 75% chance that there wouldn't be a diamond but they get 4 draws which is where I'm not sure what to do

anonymous · Answer

ooh i see four times in a row she does not get a diamond, i wasn't paying close enough attention 
in that case 
$$\left(\frac{3}{4}\right)^4$$

anonymous · Answer

not a diamond on all four tries
multiply because she replaces the card so the events are independent

hockeychick23 · Answer

ohhh ok got it, 31.6% thanks!

anonymous · Answer

yw