answersLogoWhite

0

The probability this student will fail is the same as the probability that some other student will flip a fair coin 20 times and get less than 8 heads, i.e., more than 12 tails.

There are 2^20 possible different-looking sequences of 20 coinflips, which we assume all have equal probability.

Of those sequences, 1 has no heads at all, 20 have exactly 1 head, 190 have exactly 2 heads, ... and 77520 have exactly 7 heads.

So we sum up all those possible ways to fail and we get ...

... ...

I'm assuming that the student answers randomly, flipping a fair (50:50) coin on each question to choose "true" or "false".

In that special case, it doesn't matter how many of those twenty questions are true or how many are false.

(If the student answers randomly by flipping an unfair coin, say a 25:75 coin, then it does matter how many of those questions are true -- I'll let you figure that one out).

User Avatar

Wiki User

15y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

What is the probability of rolling two dice and the sum is greater than 6?

7/12 ≈ 0.583 Probability is number_of_ways_of_success/total_number_of_ways. There are 36 possible ways 2 dice can land when thrown. To be more than 6, the sum can be 7, 8, ..., 12 There is 1 way to achieve 12 (6 & 6); 2 ways to achieve 11 (5 & 6 and 6 & 5); ... 6 ways to achieve 7 (1 & 6, 2 & 5, ..., 6 & 1); A Total of 1 + 2 + ... + 6 = 21 ways of getting a sum greater than 6. Thus the probability of throwing a sum greater than 6 is 21/36 = 7/12.


In a game of yahtzee what is the probability of getting 2 pair?

In Yahtzee, the probability of rolling two pairs in a single roll of five dice is relatively low. To achieve two pairs, you need to roll two dice showing one number, two dice showing another number, and one die showing a different number. The exact probability can be calculated as follows: there are 6 options for the first pair, 5 options for the second pair, and 4 options for the single die, leading to a probability of about 4.75%.


How many questions can you get Wrong in a 70 question test to get an 80?

To achieve an 80% score on a 70-question test, you need to correctly answer at least 56 questions (80% of 70). Therefore, you can get a maximum of 14 questions wrong (70 - 56 = 14) and still achieve an 80% score.


What is the probability of getting a sum of 7 when tossing 2 six sided dice?

To determine the probability of getting any number with 2 six sided dice you need two pieces of information First consider all the possible ways to achieve a sum of 7. 7 is the most common roll based on probability. You can achieve it 6 different ways. There are 36 possible number combinations when you roll 2 normal 6 sided die. 6/36 is the probability of rolling a 7. Simplify this fraction to 1/6. So out of every 6 rolls there should be at least one 7 rolled based on normal probability.


How many questions can you miss on a 300 question test to get a 70?

To achieve a score of 70% on a 300-question test, you would need to answer 210 questions correctly. To find out how many questions you can miss, subtract the number of correct answers from the total number of questions: 300 - 210 = 90. Therefore, you can miss up to 90 questions on a 300-question test and still achieve a score of 70%.

Related Questions

Where can you find hidden avatar 2008 halooween snowman on marapets?

You can achieve it randomly when completing snowman quests.


How can be a nayab tahsildar?

Take a TNPSE CSSE I examination.. Ur score should be very high to achieve dis position.


How long does it take in order to achieve it?

Achieve what ? Ask this question a little bit detailed


What type of Management question what do you want to achieve?

The answer is control


Which type of management question asks what do you want to achieve?

The answer is control


What type of management question asks What do you want to achieve?

The answer is control


How do you plan to achieve your work effective and professional in company?

this question asked in infosis interview explain how a someone can achieve his or her goal


What is the probability of getting a five of a kind in a game of poker?

The probability of getting a five of a kind in a game of poker is extremely low, as it requires having all five cards of the same rank in a standard 52-card deck. In fact, it is practically impossible to achieve in a fair game.


What accomplishments did he achieve to become famous?

Who's "he" ? You will have to clarify your question before we can answer it.


How do you learn to pass an examination in class?

prepare a timetable for yourself. be concentrated,dont get disturbed. be confident that you will achieve success. sit in comfortable position.dont lean anywhere.sit straight.


What is the probability of rolling two dice and the sum is greater than 6?

7/12 ≈ 0.583 Probability is number_of_ways_of_success/total_number_of_ways. There are 36 possible ways 2 dice can land when thrown. To be more than 6, the sum can be 7, 8, ..., 12 There is 1 way to achieve 12 (6 & 6); 2 ways to achieve 11 (5 & 6 and 6 & 5); ... 6 ways to achieve 7 (1 & 6, 2 & 5, ..., 6 & 1); A Total of 1 + 2 + ... + 6 = 21 ways of getting a sum greater than 6. Thus the probability of throwing a sum greater than 6 is 21/36 = 7/12.


How can achieve 100 percent safety?

You didn't specify, in what. But in any case, whatever you try to do, you can NEVER achieve 100% safety. You can reduce the probability of ... whatever you consider an undesirable outcome, but there will always be a risk, whether you are considering the risk of dying, of losing your money, etc.