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statuscvo [17]
3 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]3 years ago
8 0

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\}

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