Question
Primes are numbers divisible only by 1 and themselves; There are infinitely many prime numbers and the first ones are 2, 3, 5, 7, 11, 13, 17, 19, 23, .... Consider a 12-sided die, with the faces numbered from 1 to 12. Out of 4 rolls, the probability that only the first three numbers are primes is:
193
likes964 views
Answer to a math question Primes are numbers divisible only by 1 and themselves; There are infinitely many prime numbers and the first ones are 2, 3, 5, 7, 11, 13, 17, 19, 23, .... Consider a 12-sided die, with the faces numbered from 1 to 12. Out of 4 rolls, the probability that only the first three numbers are primes is:
Eliseo
4.6110 Answers
From 1 to 12, the number of prime number is 5 (2,3,5,7,11) and the number of not a prime number is 7 (1,4,6,8,9,10,12)
1st roll is prime = 5/12
2nd roll is prime = 5/12
3rd roll is prime = 5/12
4th roll is not prime = 7/12
So the probability is \frac{5}{12}\frac{.5}{12}\frac{.5}{12}\frac{.7}{12}=\frac{875}{20736}=0.0422
That's the answer.
Frequently asked questions (FAQs)
Math Question: Find the 5th order derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 1
+
What is the length of the adjacent side when the angle is 30 degrees and the hypotenuse is 5 units long?
+
Math question: Find the limit as x approaches 2, (x^2 - 4)/(x - 2), using L'Hospital's Rule.
+
New questions in Mathematics