2. There are 25 gold cards and 25 silver cards in a deck. The gold cards are numbered and the silver cards are numbered . The cards are thoroughly shuffled and one card is randomly selected.
(a) Find the probability of selecting a gold card or a card with a multiple of 5 on it. Show your work.
(b) Find the probability of selecting a silver card or a card with a multiple of 9 on it. Show your work.

Respuesta :

There are 25 gold cards, none of them are multiples of 10 (because they are odd). 
There are 5 silver cards that are multiples of 10 (10, 20, 30, 40, 50) 

That's a total of 30 favorable outcomes out of 50 possible cards. 

P(gold or multiple of 10) = 30/50 = 3/5 

PART B: 

There are 25 silver cards (even) 
Of the gold cards (odd), there are 4 multiples of 7 {7, 21, 35, 49} 

That's a total of 29 favorable outcomes out of 50 possible cards. 

P(silver or multiple of 7) = 29/50