A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

Question

2 years ago

13

A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through

a door is a failure, then the person will not make any further attempts. Let P denote a successful pass and F denote a failed pass. What is the sample space for this random experiment

Mathematics

1 answer:

Sloan [31] · Answer 1 · 2022-06-19T02:59:15+03:00

Answer:

Sample space is $\{F,PF,PPF,PPP\}$

Step-by-step explanation:

Number of security doors = 3

Let P denote a successful pass and F denote a failed pass.

Sample space refers to a set of all possible outcomes.

If the first attempt to pass through a door is a failure, then the outcome is F.

If the second attempt to pass through a door is a failure, then the outcome is PF.

If the third attempt to pass through a door is a failure, then the outcome is PPF.

If the fourth attempt to pass through a door is a failure, then the outcome is PPP.

Sample space is $\{F,PF,PPF,PPP\}$