Ariel has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are clubs? B) Alisa has a bag of 10 red and 6 green marbles. She takes one marble out of the bag and does not replace it. She then takes a second marble out of the bag. What is the probability that both marbles are green? C) In a bag of apples there are 4 green apples and 2 red apples. Bethany takes a green apple out of the bag and does not replace it. She then takes another apple out of the bag. What is the probability that the second apple is red? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to th

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Mathematics

Alexander Dixon

12 February, 03:03

Ariel has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are clubs? B) Alisa has a bag of 10 red and 6 green marbles. She takes one marble out of the bag and does not replace it. She then takes a second marble out of the bag. What is the probability that both marbles are green? C) In a bag of apples there are 4 green apples and 2 red apples. Bethany takes a green apple out of the bag and does not replace it. She then takes another apple out of the bag. What is the probability that the second apple is red? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to th

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Alessandro Weber · Answer 1

A) probability of sequences can be calculated by multiplying the probability of the first event by the second, etc. until the end of the series. Thirteen cards are clubs in a 52 card deck, so the initial probability of drawing a club is 13/52, or 0.25 (25%). This means that the cumulative probability is 0.25 x 0.25, or 0.0625 (6.25%).

B) Like part a, the initial probability of finding a green marble is 6/16, or 0.375 (37.5%). When not replacing the marble, the second probability is now 5/15, or 0.33 (33.3%), due to the loss of this marble. This means that the cumulative probability is 0.375 x 0.333, or 0.1249 (12.49%).

C) The initial probability of finding a green apple is 4/6, or 0.66 (66.6%). The second probability, when not replacing the apple is now 2/5, or 0.4 (40%) - the loss of the apple affected the total number of apples, but didn’t affect the number of red apples. This means that the cumulative probability is 0.666 x 0.4, or 0.266 (26.6%).

D) Unfortunate, I don’t know what the problem is asking, so I can’t answer this for you.