A lock on a bank vault consists of three dials, each with 30 positions. In order for the vault to open, each of the three dials must be in the correct position. How many different possible dial combinations are there for this lock? What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault? a. b. c. n! Explain why "dial combinations" are not mathematical combinations expressed by the equation „Cx = x!(n - x)! a. There are possible dial combinations for this lock. b. The probability that if you randomly select a position on each dial, you will be able to open the bank vault is (Type an integer or a fraction.) c. Choose the correct answer below. O A. "Dial combinations" are not combinations because each number cannot occur more than once. O B. "Dial combinations" are not combinations because order does not matter. O C. "Dial combinations" are not combinations because order matters and each number can occur more than once.
A lock on a bank vault consists of three dials, each with 30 positions. In order for the vault to open, each of the three dials must be in the correct position. How many different possible dial combinations are there for this lock? What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault? a. b. c. n! Explain why "dial combinations" are not mathematical combinations expressed by the equation „Cx = x!(n - x)! a. There are possible dial combinations for this lock. b. The probability that if you randomly select a position on each dial, you will be able to open the bank vault is (Type an integer or a fraction.) c. Choose the correct answer below. O A. "Dial combinations" are not combinations because each number cannot occur more than once. O B. "Dial combinations" are not combinations because order does not matter. O C. "Dial combinations" are not combinations because order matters and each number can occur more than once.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Transcribed Image Text:A lock on a bank vault consists of three dials, each with 30 positions. In order for the vault to open, each of the three dials must be in the correct position.
How many different possible dial combinations are there for this lock?
What is the probability that if you randomly select a position on each dial, you will be able to open the bank vault?
а.
b.
C.
n!
Explain why "dial combinations" are not mathematical combinations expressed by the equation C,
x!(n - x)!
...
a. There are
possible dial combinations for this lock.
b. The probability that if you randomly select a position on each dial, you will be able to open the bank vault is
(Type an integer or a fraction.)
c. Choose the correct answer below.
A. "Dial combinations" are not combinations because each number cannot occur more than once.
B. "Dial combinations" are not combinations because order does not matter.
C. "Dial combinations" are not combinations because order matters and each number can occur more than once.
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