Probability of getting a yellow gumball and a lion band is [tex]\frac{1}{20}[/tex] .
What is probability?
"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one."
We have
A vending machine has 5 colors
⇒ White, red, green, blue, and yellow (gumballs)
A second machine has 4 different animal-shaped rubber bands
⇒Lion, elephant, horse, and alligator
Probability of getting a yellow gumball
We have
Number of events n(E) = 1
Number of possible outcomes n(S) = 5
= [tex]\frac{n(E)}{n(S)}[/tex]
= [tex]\frac{1}{5}[/tex]
Probability of getting a lion band
We have
Number of events n(E) = 1
Number of possible outcomes n(S) = 4
= [tex]\frac{n(E)}{n(S)}[/tex]
= [tex]\frac{1}{4}[/tex]
Probability of getting a yellow gumball and a lion band
= [tex]\frac{1}{5}[/tex]×[tex]\frac{1}{4}[/tex]
= [tex]\frac{1}{20}[/tex]
Hence, Probability of getting a yellow gumball and a lion band is [tex]\frac{1}{20}[/tex] .
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