Question

There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple. If you were to grab one popsicle from the bag, what is the probability that it is purple or yellow? Enter your answer in simplest form. [? P(purple or yellow) = Enter / it a fraction

Answer 1

There is a bag with 50 popsicles inside

Total number of Popsicles = 50

Number of possible outcomes = 50

5 are red, 15 are orange, 12 are blue, 8 are yellow and 10 are purple

Number of red popsicles = 5

Number of Orange popsicles = 15

Number of Blue popsicles = 12

Number of Yellow popsicles = 8

Number of Purple popsicles = 10

The probability that it is purple:

Number of Purple popsicles = 10

Number of favourable Outcomes = 10

`\begin{gathered} \text{ Probability of purple popsicles=}\frac{Number\text{ of favourable Outcomes}}{Numbe\text{r of Possible Outcomes}} \\ \text{Probability of purple popsicles=}(10)/(50) \\ \text{Probability of purple popsicles=}(1)/(5) \\ \text{Probability of purple popsicles=}0.2 \end{gathered}`

Probability of purple popsicles is 0.2

The probability that it is yellow :

Number of yellow popsicles = 8

Number of favourable Outcomes = 8

`\begin{gathered} \text{ Probability of yellow popsicles=}\frac{Number\text{ of favourable Outcomes}}{Numbe\text{r of Possible Outcomes}} \\ \text{Probability of yellow popsicles=}(8)/(50) \\ \text{Probability of yellow popsicles=}(4)/(25) \\ \text{Probability of yellow popsicles=}0.16 \end{gathered}`

Probability of yellow popsicles is 0.16

The probability that it is purple or yellow is the sum of Probability of yellow popsicles and probability of purple popsicle

The probability that it is purple or yellow = 0.2 + 0.16

The probability that it is purple or yellow = 0.36

`\begin{gathered} 0.36=(36)/(100) \\ 0.36=(9)/(25) \end{gathered}`

The probability that it is purple or yellow = 9/25

Answer : The probability that it is purple or yellow is 9/25