There are several possible outcomes. The initial composition of the urns is as follows: Urn 1 contains 2 red chips and 4 white chips, totaling 6 chips, whereas Urn 2 has 3 red and 1 white, amounting to 4 chips. When a chip is drawn from the first urn, the probabilities are as follows: for a red chip, it is probability is (2 red from 6 chips = 2/6 = 1/2); for a white chip, it is (4 white from 6 chips = 4/6 = 2/3). After the chip is transferred to the second urn, two scenarios can arise: if the chip drawn from the first urn is white, then Urn 2 will contain 3 red and 2 white chips, making a total of 5 chips, creating a 40% chance for drawing a white chip. Conversely, if a red chip is drawn first, Urn 2 will contain 4 red and 1 white chip, which results in a 20% chance of drawing a white chip. This scenario exemplifies a dependent event, as the outcome hinges on the type of chip drawn first from Urn 1. For the first scenario, the combined probability is (the probability of drawing a white chip from Urn 1) multiplied by (the probability of drawing a white chip from Urn 2), equaling 26.66%. For the second scenario, the probabilities yield a value of 6%.
Response:
n = 0 or 3
Detailed explanation:
2n² - 5n + 2
2n² - 4n - n + 2
2n(n - 2) -1(n - 2)
(n - 2)(2n - 1)
A prime number is defined as one that can only be divided by itself and 1
Setting n-2 = 1 gives n = 3
Setting 2n-1 = 1 gives n = 0
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams
60g < x < 95g; where x signifies 1 pack.
Cardboard: 15 grams.
95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.
60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.
9 < x < 16; where x represents a single pencil in the pack.