Question

In a stack of cards, 1-fifth of the cards are blue, 3-tenths of the cards are green, 2-fifths of the cards are orange, and the rest of the cards are red. One card is chosen at random.

Question
What is the likelihood of each color being chosen?

Answer 1

order them from least likely to most likely

Answer 2

To find the likelihood of each color being chosen, we need to calculate the probability of choosing each color.

Given that 1-fifth of the cards are blue, we can say that the probability of choosing a blue card is 1/5.

Similarly, since 3-tenths of the cards are green, the probability of choosing a green card is 3/10.

And if 2-fifths of the cards are orange, then the probability of choosing an orange card is 2/5.

Since the remaining cards are red, the probability of choosing a red card would be 1 - (1/5 + 3/10 + 2/5) = 1 - (1/5 + 3/10 + 4/10) = 1 - (1/5 + 7/10) = 1 - (2/10 + 7/10) = 1 - (9/10) = 1/10.

Therefore, the likelihood of each color being chosen is:
- Blue: 1/5
- Green: 3/10
- Orange: 2/5
- Red: 1/10

Answer 3

Ordering them from least likely to most likely, we have:

1. Red: 1/10 probability
2. Blue: 1/5 probability
3. Green: 3/10 probability
4. Orange: 2/5 probability