Question

22 multiple choice 2 points students in ms. nazzeers mathematics class tossed a six - sided number cube whose faces are numbered 1 to 6. the results are recorded in the table below. result frequency 1 3 2 6 3 4 4 6 5 4 6 7 based on these data, what is the empirical probability of tossing a 4? 8/30 5/30 6/30 1/30 23 multiple choice 2 points out of a bag containing marbles of three different colors, 40 are drawn. the frequency of different colors drawn is shown in the table. based on this table what would be the probability of drawing a white marble? color frequency black 20 red 15 white 5

Explanation:

Step1: Calculate total number of tosses

Add up all frequencies: $3 + 6+4 + 6+4 + 7=30$

Step2: Calculate empirical probability of tossing a 4

The frequency of getting a 4 is 6. The empirical - probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability of tossing a 4 is $\frac{6}{30}$.

Step1: Calculate total number of marbles drawn

Add up frequencies of all colors: $20 + 15+5=40$

Step2: Calculate probability of drawing a white marble

The frequency of white marbles is 5. Using the probability formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, the probability of drawing a white marble is $\frac{5}{40}=\frac{1}{8}$.

Answer:

$\frac{6}{30}$