There are 4 blue tiles, 12 red tiles, and 6 green tiles in a bag. Which model represents the probability, P, that Luke will pick a red tile from the bag?

Respuesta :

Answer:

The Probability that will pick a red tile from the bag

[tex]P(E) = \frac{6}{11}[/tex] = 0.545

Step-by-step explanation:

Explanation:-

Given data 4 blue tiles, 12 red tiles, and 6 green tiles in a bag

Total = 4 B + 12 R + 6 G = 22 tiles

Total number of exhaustive cases

         n (S) = [tex]22 C_{1} = 22 ways[/tex]

The Probability that will pick a red tile from the bag

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{12 C_{1} }{22 C_{1} } = \frac{12}{22}[/tex]

[tex]P(E) = \frac{6}{11}[/tex]

P(E) = 0.545

Final answer:-

The Probability that will pick a red tile from the bag = 0.545