What is the probability of rolling a number less than 4 and then rolling a number less than 4?

← Previous 1 2 3 4 5 6 7 8 9 10 Next →

If you flip a coin 3 times, what are the odds that the coin will be heads all three times?

Possible Answers:

Correct answer:

Explanation:

If you flip a coin, the chances of you getting heads is 1/2. This is true every time you flip the coin so if you flip it 3 times, the chances of you getting heads every time is 1/2 * 1/2 * 1/2, or 1/8.

What is the probability of getting a sum of four when rolling two six-sided dice?

Possible Answers:

Correct answer:

Explanation:

The sample space for rolling two six-sided dice

There are three ways to roll a four.

The probability of rolling a four is given by the number of outcomes that produce a four divided by the total number of outcomes.

A bag contains 3 green marbles, 5 red marbles, and 9 blue marbles.

What is the probability of drawing a red marble?

Possible Answers:

Correct answer:

Explanation:

The probability of drawing a red marble is

The total number of marbles 

In a certain lottery, ten balls are numbered #1 through #10.  Two winning balls will be drawn without replacement.

Billy plays the lottery and picks the numbers 9 and 10.

What is the probability Billy Bob will have two winning numbers?

Possible Answers:

Explanation:

(1/10)(1/9) = 1/90

In a lottery, ten balls are numbered #1 through #10.  Two winning balls will be drawn without replacement.

Billy plays the lottery and picks the numbers 9 and 10.

What is the probability that Billy has no winning numbers? (Round to the nearest one percent.)

Possible Answers:

Explanation:

The correct answer is 62%, obtained from (8/10) (7/9) = 0.62222

A fair coin is tossed 2 times.

When flipping a coin twice, what is the probability of getting one heads and one tails? Without regard to order. I.e., either the heads or the tails could appear first.

Possible Answers:

Explanation:

There are 4 possible outcomes for the event {HH, HT, TH, TT}. Two of these four outcomes include exactly one heads and one tails. 

Thus the solution is 2/4 = 1/2 = 0.5

With a pair of standard six-sided dice, what is the probability of getting a sum of less than five OR at least ten?

Possible Answers:

Correct answer:

Explanation:

Probability is a fraction between 0 and 1. The denominator is the total number of possible outcomes and the numerator is the total number of desired outcomes. For two dice, the total number of ways to roll the dice is 36 (6 on the first die can go with any of the 6 on the second die)

The following outcomes result in a sum of less than 5:  {1, 1}  {1, 2}  {1, 3}  {2, 1}  {2, 2}  {3, 1}, for 6 possible outcomes

The following outcomes result in a sum of at least 10:  {4, 6}  {5, 6}  {5, 5}  {6, 6}  {6, 5}  {6, 4} for 6 possible outcomes

Since we are looking for a sum of less than five OR a sum of at least ten, we sum up the total number of desired outcomes

So the probability of getting less than five or at least ten will be 12/36, or 1/3

There are 6 pink marbles, 3 green marbles, and 5 white marbles in a bag; if one marble is taken out, what is the probability that the marble is pink?

Possible Answers:

Correct answer:

Explanation:

There are 6 pink marbles out of 14 total, which reduces to 3/7.

A fair coin is flipped three times. What is the probability that the outcome is heads all three times?

Possible Answers:

Correct answer:

Explanation:

There are 8 possible sequences that can occur given this scenario, listed as {HHH, HHT, HTT, HTH, THT, THH, TTH, TTT} 

Only one element in this set is the desired outcome of 3 heads. So we get 1/8 is our probability.

Another way to look at this problem is to consider that the probability of flipping heads once is 1/2, so the probability of flipping heads 3 times consecutively is 1/2 * 1/2 * 1/2 = 1/8

A single die is rolled and one coin is flipped. 

What is the probability of getting a number less than 4 on the die and a heads on the coin?

Possible Answers:

Correct answer:

Explanation:

To get a number less than 4 on a die, 3/6 is the probability. To get a heads is a 1/2 chance.

So, since both events are independent, multiply the two probabilities together to get your answer.

← Previous 1 2 3 4 5 6 7 8 9 10 Next →

Ping
Certified Tutor

The University of Texas at Dallas, Bachelor of Science, Computer Science. University of North Texas, Master of Arts, Education.

Joshua
Certified Tutor

Williams College, Bachelor in Arts, Chemistry.

Whitney
Certified Tutor

Mississippi State University, Bachelor of Education, Elementary School Teaching. Walden University, Master of Science, Mathem...

If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105

Or fill out the form below: