A bag contains 5 red marbles, 7 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, that both marbles drawn will be blue?Answer:
Q. A bag contains 5 red marbles, 7 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, that both marbles drawn will be blue?Answer:
Determine Total Marbles: Determine the total number of marbles in the bag.Add the number of red, blue, and green marbles together.5 red + 7 blue + 3 green = 15 total marbles.
Calculate First Blue Probability: Calculate the probability of drawing the first blue marble.Since there are 7 blue marbles out of 15 total marbles, the probability of drawing a blue marble first is 157.
Calculate Second Blue Probability: Calculate the probability of drawing a second blue marble after the first one has been drawn.Now there are 6 blue marbles left and only 14 marbles total. The probability of drawing a second blue marble is 146.
Multiply Probabilities: Multiply the probabilities from Step 2 and Step 3 to find the probability of both events occurring.(157)×(146)=21042=51.
Convert to Percentage: Convert the probability into a percentage. 51=0.2 and as a percentage, this is 20%.
Round to Nearest Tenth: Round the percentage to the nearest tenth of a percent. 20% is already at the nearest tenth of a percent, so no further action is needed.