Kyle’s handful of trail mix has 2 almonds, 4 peanuts, 3 raisins, and 5 sunflower seeds. If he picks one item from the handful of trail mix at random, what is the probability that the item is a peanut?

Respuesta :

Answer:

The probability is 2/7 or 28.57%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

[tex]P=\frac{x}{y}[/tex]

In this problem we have

[tex]x=4[/tex]  ---> number of peanuts

[tex]y=2+4+3+5=14[/tex]  ---> total number of items

substitute

[tex]P=\frac{4}{14}[/tex]

Simplify

[tex]P=\frac{2}{7}=0.2857[/tex]

Convert to percentage

[tex]0.2857*100=28.57\%[/tex]

Answer:

c

Step-by-step explanation: