Question

Find the probability.

A bag of sweets contains 20 gummy bears and 35 orange slices. One sweet is taken at random from the bag. Find P(gummy bear).

Answer 1

P(gummy bear) =
`(4)/(11)`

Step-by-step explanation:

Probability of a certain outcome can be calculated as follows:

`P(certain-outcome)=(number-of-occurrences-of-this-outcome)/(total-number-of-possible-outcomes)`

In the given problem we have:

20 gummy bears and 35 orange slices

We want to find P(gummy bear)

This means that:

number of occurrences of desired outcome = number of gummy bears = 20

Total number of possible outcomes = gummy bears + orange slices

Total number of possible outcomes = 20 + 35 = 55

Substitute with the givens in the above formula, we get:

`P(gummy-bears)=(20)/(55)=(4)/(11)`

Hope this helps :)