the following frequency table summarizes this years injuries on the canadian rounders cricket team.\n\n|…

the following frequency table summarizes this years injuries on the canadian rounders cricket team.\n\n| number of injured players | number of matches |\n| :---: | :---: |\n| 0 | 4 |\n| 1 | 5 |\n| 2 | 2 |\n| 3 | 3 |\n| 4 | 2 |\n\nbased on this data, what is a reasonable estimate of the probability that the canadian rounders have 0 players injured for their next match?\nchoose the best answer.\nchoose 1 answer:\n(a) $20\\%$\n(b) $25\\%$\n(c) $33\\%$\n(d) $40\\%$

the following frequency table summarizes this years injuries on the canadian rounders cricket team.\n\n| number of injured players | number of matches |\n| :---: | :---: |\n| 0 | 4 |\n| 1 | 5 |\n| 2 | 2 |\n| 3 | 3 |\n| 4 | 2 |\n\nbased on this data, what is a reasonable estimate of the probability that the canadian rounders have 0 players injured for their next match?\nchoose the best answer.\nchoose 1 answer:\n(a) $20\\%$\n(b) $25\\%$\n(c) $33\\%$\n(d) $40\\%$

Answer

Explanation:

Step1: Calculate the total number of matches

Sum the frequencies in the "Number of matches" column. $$4 + 5 + 2 + 3 + 2 = 16$$

Step2: Identify matches with zero injuries

Find the frequency corresponding to 0 injured players. $$f(0) = 4$$

Step3: Calculate the experimental probability

Divide the frequency of zero injuries by the total matches. $$P(0) = \frac{4}{16} = \frac{1}{4}$$

Step4: Convert the probability to a percentage

Multiply the fraction by 100 to get the percentage. $$\frac{1}{4} \times 100% = 25%$$

Answer:

B. 25%