4.2.1: Exercises
- Page ID
- 83580
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- A ball is drawn randomly from a jar that contains 6 red balls, 2 white balls, and 5 yellow balls. Find the probability of the given event.
- A red ball is drawn
- A white ball is drawn
- Suppose you write each letter of the alphabet on a different slip of paper and put the slips into a hat. If you draw one slip of paper from the hat at random, what is the probability of getting:
- A consonant?
- A vowel?
- A group of people were asked if they had run a red light in the last year. 150 responded "yes", and 185 responded "no". Find the probability that if a person is chosen at random, they have run a red light in the last year.
- In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dogs, and 40 indicated they don’t enjoy either pet. Find the probability that if a person is chosen at random, they prefer cats.
- Compute the probability of tossing a six-sided die (with sides numbered 1 through 6) and getting a 5.
- Compute the probability of tossing a six-sided die and getting a 7.
- Giving a test to a group of students, the grades and gender are summarized below. If one student was chosen at random, find the probability that the student was female.
\(\begin{array}{|l|l|l|l|l|} \hline & \mathrm{A} & \mathrm{B} & \mathrm{C} & \text { Total } \\ \hline \text { Male } & 8 & 18 & 13 & 39 \\ \hline \text { Female } & 10 & 4 & 12 & 26 \\ \hline \text { Total } & 18 & 22 & 25 & 65 \\ \hline \end{array}\)
- The table below shows the number of credit cards owned by a group of individuals. If one person was chosen at random, find the probability that the person had no credit cards.
\(\begin{array}{|l|l|l|l|l|} \hline & \text { Zero } & \text { One } & \text { Two or more } & \text { Total } \\ \hline \text { Male } & 9 & 5 & 19 & 33 \\ \hline \text { Female } & 18 & 10 & 20 & 48 \\ \hline \text { Total } & 27 & 15 & 39 & 81 \\ \hline \end{array}\)
- Compute the probability of tossing a six-sided die and getting an even number.
- Compute the probability of tossing a six-sided die and getting a number less than 3.
- If you pick one card at random from a standard deck of cards, what is the probability it will be a King?
- If you pick one card at random from a standard deck of cards, what is the probability it will be a Diamond