Question

probability distributions
guided practice
there are 20 tiles in a bag. there are 8 circular tiles, 7 square tiles, and 5 triangular tiles. what is the frequency, and what is the probability, for picking a triangle?
a. frequency = 20, ( p(\text{triangle}) = \frac{1}{4} )
b. frequency = 5, ( p(\text{triangle}) = \frac{1}{4} )
c. frequency = 20, ( p(\text{triangle}) = 5 )
d. frequency = 5, ( p(\text{triangle}) = 5 )

Explanation:

Step1: Identify total tile frequency

The total number of tiles (frequency) is given as 20.

Step2: Find triangular tile count

The number of triangular tiles is 5.

Step3: Calculate probability of triangle

Probability is the ratio of favorable to total outcomes.
$P(\text{triangle}) = \frac{\text{Number of triangular tiles}}{\text{Total number of tiles}} = \frac{5}{20} = \frac{1}{4}$

Answer:

A. Frequency = 20, $P(\text{triangle}) = \frac{1}{4}$