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)
What is 4.5 x 10^7 when written in standard notation?
+
Math question: Evaluate the limit as x approaches 2 of (3x^2 - 7x + 4) / (2x^2 - 5x + 2).
+
What are the absolute extrema of the function f(x) = x^3 - 6x^2 + 9x on the interval [0, 4]?
+
New questions in Mathematics