Question

A card is chosen at random from a deck of 28 cards. The deck contains red, 12 black 7 blue, and 2 green cards. Thend the card is returned to the deck and New card is cosen. the table below shows the results of choosing 14 cards. for which color of card is the experimental probability the same as the theoretical probabicaras.Results red= 10 black=2 blue=1green=1

Answer 1

From the question, we can find that we have 7 red cards

so, the probability of chosen at random a card is

p(red)= 7/28

p(black)= 12/28

p(blue) = 7/28

p(green)=2/28

As after picking a card we return the card to the deck, and given that we chose 14 cards, our theoretical number of chosen cards should be around

p(red) = (7/28)x14 = 3.5

p(black) = (12/28)x14 = 6

p(blue) = (7/28)x14 = 3.5

p(green)= (2/28)x14=1

so the color that the experimental probability is the same as the theoretical probability is green