The probability that you will first choose a red marble followed by a green marble is 20%.
<h3><u>Probabilities</u> </h3>
Given that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:
- 1 + 2 + 2 = 5
- 2/5 x 2/4 = X
- 0.4 x 0.5 = X
- 0.2 =X
- 0.2 x 100 = 20
Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.
Learn more about probability in brainly.com/question/26677483
Answer:
a. When two variables change in the same direction, one remaining larger than the other by the same factor - direct relationship
b. To insert between neighboring points or estimate by taking an average of known values - interpolate
c. A relationship between two variables in which the product remains constant. When one variable increases the other decreases in proportion so that the product is unchanged - inverse relationship
Answer:
The probability that a book picked at random is either a work written by an author who writes only nonfiction or a work written by a man is 75.8%.
Step-by-step explanation:
The probability, in this case, has to be calculated using the sum rule because the events are independent.
P = P(men) + P(non-fiction) - P(men non-fiction); where P is the probability. It means the probability that the random book was written by a man plus the probability that the random book was non-fiction minus the probability that the random book was written by a man who writes non-fiction. The probability that the random book was written by a man who writes non-fiction has to be subtracted, if not you will be duplicating it.
Facts:
P(men) = 60% = 99/165
P(non-fiction) = 40% = 66/165
P(men non-fiction) = 40/165
P = P(men) + P(non-fiction) – P(men non-fiction)
P = 99/165 + 66/165 – 40/165
P = 125/165
P = 0.758 or 75.8%
