
What is the probability of rolling a total of with two dice at least once in rolls?
Answer
445.5k+ views
Hint: Probability is a branch of mathematics concerned with empirical representations of the likelihood of an occurrence occurring or the truth of a proposition. The probability of an event is a number between and , with indicating impossibility and indicating certainty.
Complete step-by-step solution:
A six-sided cube with the numbers on the faces is the most common type of die.
When we roll a die there are possible outcomes. Hence, there are possible outcomes when flipping two dice.
Six of the outcomes have a total of seven:
That is, of the possible outcomes will not be a total of .
of the time, we will not get a total of on the first roll.
i.e., We didn't get a on the first roll of the time.
of the time, we will not get on the second roll.
That is, we will not get a total of on either of the first two rolls of the time.
Following this logic, we can see that of the time, we will not get a total of on any of the first rolls.
i.e.; Approximately of the time, we will not get a total of on any of the first rolls.
This means that at least one of the first ten rolls would result in a total of .
Hence, the probability of rolling a total of with two dice at least once in rolls is
Note: The higher an event's probability, the more likely it is that it will occur. The underlying dynamics and regularities of complex systems are often defined using probability theory.
Complete step-by-step solution:
A six-sided cube with the numbers
When we roll a die there are
Six of the
That is,
i.e., We didn't get a
That is, we will not get a total of
Following this logic, we can see that
i.e.; Approximately
This means that at least one of the first ten rolls would result in a total of
Hence, the probability of rolling a total of
Note: The higher an event's probability, the more likely it is that it will occur. The underlying dynamics and regularities of complex systems are often defined using probability theory.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Chemistry: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Class 11 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Trending doubts
Explain why it is said like that Mock drill is use class 11 social science CBSE

Which of the following blood vessels in the circulatory class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Which of the following is nitrogenfixing algae a Nostoc class 11 biology CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells
