Introduction to Probability

This lecture series introduces the concept of probability and gives examples of calculating basic probability. Watch the videos and complete the interactive exercises.

Practice

Experimental probability - Questions

1. Tomer owns a daycare center called Kidz Kare. One afternoon he collected the age of each person in Kidz Kare. The following histogram summarizes the data he collected.


Based on this data, what is a reasonable estimate of the probability that the next person to enter Kidz Kare is between 10 and 15 years old?

Choose the best answer.

Choose 1 answer:

(A) \frac{2}{10}

(B) \frac{2}{7}

(C) \frac{3}{10}

(D) \frac{3}{7}

2. The table shows the number of feathers Patsy the Peacock sold at each of the 8 festivals this year.

\begin{array}{|c|c|c|c|}\hline 3 & 6 & 1 & 4 \\\hline 2 & 3 & 7 & 2 \\\hline\end{array}

Based on this data, what is a reasonable estimate of the probability that Patsy sells fewer than 5 feathers next festival?

Choose the best answer.

Choose 1 answer:

(A) 25 \%

(B) 46 \%

(C) 54 \%

(D) 75 \%

3. Coach Kelly documented the number of points the Ragin' Cajun football team scored each game this season. The following histogram summarizes the data.


Based on this data, what is a reasonable estimate of the probability that the Ragin' Cajun score 30 or more points in their next football game?

Choose the best answer.

Choose 1 answer:

(A) \frac{5}{16}

(B) \frac{3}{11}

(C) \frac{5}{11}

(D) \frac{3}{16}

4. So far, 907 of the 1223 voters have agreed to the new amendment.

Based on this data, what is a reasonable estimate of the probability that the next voter does not agree to the new amendment?

Choose 1 answer:

(A) \frac{1223}{2130}

(B) \frac{907}{1223}

(C) \frac{316}{1223}

(D) \frac{316}{907}

5. The following frequency table summarizes this year's injuries on the Canadian Rounders cricket team.

\begin{array}{cc}\text { Number of injured players } & \text { Number of matches } \\\hline 0 & 4 \\\hline 1 & 5 \\\hline 2 & 2 \\\hline 3 & 3 \\\hline 4 & 2 \\\hline\end{array}

Based on this data, what is a reasonable estimate of the probability that the Canadian Rounders have 0 players injured for their next match?

Choose the best answer.

Choose 1 answer:

(A) 20 \%

(B) 25 \%

(C) 33 \%

(D) 40 \%

6. The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies.

Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?

Choose 1 answer:

(A) \frac{93}{108}

(B) \frac{15}{108}

(C) \frac{108}{93}

(D) \frac{15}{93}

7. The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.

\begin{array}{cc}\hline \text { Size of bed } & \text { Number of beds } \\\hline \text { Twin } & 3 \\\hline \text { Double } & 6 \\\hline \text { Queen } & 4 \\\hline \text { King } & 2 \\\hline \end{array}

Based on this data, what is a reasonable estimate of the probability that the next bed sold is a twin bed?

Choose the best answer.

Choose 1 answer:

(A) 0.20

(B) 0.25

(C) 0.27

(D) 0.40