Respuesta :
Answer:
a) 0.3.
b) 1.
Step-by-step explanation:
Note: The scale of probability is not given properly. So, the probability of following events are given below:
It is given that,
Total number of sweets in a bag = 10
Red sweets = 4
Green sweets = 2
Yellow sweets = 3
Purple sweet = 1
a)
We need to find the probability of choosing a yellow sweet.
[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(Y)=\dfrac{3}{10}[/tex]
[tex]P(Y)=0.3[/tex]
Therefore, the probability of choosing a yellow sweet is 0.3.
b)
We need to find the probability of choosing a sweet that is not orange.
[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]
[tex]P(O')=1-\dfrac{0}{10}[/tex]
[tex]P(O')=1[/tex]
Therefore, the probability of choosing a sweet that is not orange is 1.
Probabilities are used to determine the chances of events.
- The probability of choosing a yellow sweet is 0.3
- The probability of choosing a sweet that is not orange is 0
The probability scale is not given; so, I will give a general explanation.
The given parameters are:
[tex]Red = 4[/tex]
[tex]Green = 2[/tex]
[tex]Yellow= 3[/tex]
[tex]Purple = 1[/tex]
[tex]Total = 10[/tex]
(a) The probability of choosing a yellow sweet
This is calculated using:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{3}{10}[/tex]
Divide 3 by 10
[tex]P(Yellow) =0.3[/tex]
Hence, the probability of choosing a yellow sweet is 0.3
(b) The probability of choosing a sweet that is not orange
This is calculated using:
[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]
So, we have:
[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]
Divide 0 by 10
[tex]P(Not\ Orange) = 1 - 0[/tex]
[tex]P(Not\ Orange) = 1[/tex]
Hence, the probability of choosing a sweet that is not orange is 0
Read more about probabilities at:
https://brainly.com/question/251701