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?

3 answers

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
order them from least likely to most likely
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