We will solve this in an easy to understand stepwise manner. Here we go:
A person will throw a dice, and he will get a number. Now, the probability that the second person will not get the same number is 5/6 (Right? If you don't understand how, ask in the comments).
Similarly, the probability that the third person will not get the same number is 4/6 and that of the fourth person is 3/6.
Now, what is the probability that all people get different numbers?
1 × 5/6 × 4/6 × 3/6 = 5/18
∴ P(at least 2 people get the same number) = 1 - 5/18 = 13/18
Answers & Comments
Verified answer
Answer: 13/18We will solve this in an easy to understand stepwise manner. Here we go:
A person will throw a dice, and he will get a number. Now, the probability that the second person will not get the same number is 5/6 (Right? If you don't understand how, ask in the comments).
Similarly, the probability that the third person will not get the same number is 4/6 and that of the fourth person is 3/6.
Now, what is the probability that all people get different numbers?
1 × 5/6 × 4/6 × 3/6 = 5/18
∴ P(at least 2 people get the same number) = 1 - 5/18 = 13/18
Verified answer
Answer:
Probability of 2 people get the same number =
Step-by-step explanation:
Given :
4 men throw a die each simultaneously.
To Find :
The probability that at least 2 people get the same number.
Solution :
The First Step is :
Find the probability that all the people get different numbers.
So,
First person throws the die and get a number.
As, We know that If one thing/number is taken so, Nobody can again use it.
Now,
Probability =
Similary here,
Third person's Probability =
Fourth person's probability =
Remember -
Every People get a different number.
Now,
{ Here All people get different numbers. }
Now,
{ Here at least 2 people get the same number }
Hence,
Probability of 2 people get the same number =