Question

There are 2525 different colored pencils in a box. what is the probability that the orange pencil and then the green pencil will be chosen at random, without replacement?

1. niczorrrr
The probability that the orange pencil and then the green pencil will be chosen at random, without replacement is 0.15.

### What is probability?

• Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true.
• The probability of an event is a number between 0 and 1, where 0 indicates the event’s impossibility and 1 indicates certainty.
• A probability formula can be used to calculate the probability of an event by simply dividing the favorable number of outcomes by the total number of possible outcomes.
To find what is the probability that the orange pencil and then the green pencil will be chosen at random, without replacement:
• Probability of orange pencil = 1/2525
• Probability of green pencil without replacement of orange pencil = 1/2524
• Total probability of both orange and green pencils:
• 1/2525 × 1/2524 = 1/6,373,100 = 0.15
• So, P = 0.15
Therefore, the probability that the orange pencil and then the green pencil will be chosen at random, without replacement is 0.15.