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IFoA_CAA_M0 Exam - Topic 9 Question 72 Discussion

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z, while the "digit" can be any number from 0 to 9. E.g: Z9835.Calculate the probability of a sea vessel having an identification ending in "007".
A) 0.001
B) 0.002
C) 0.003
D) 0.504

IFoA_CAA_M0 Exam - Topic 9 Question 72 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam
Question #: 72
Topic #: 9
[All IFoA_CAA_M0 Questions]

In a small island nation, local sea vessels are identified using "a letter and 4 digits" classification system. The "letter" can be any of the 26 letters in the English alphabet, A to Z, while the "digit" can be any number from 0 to 9. E.g: Z9835.

Calculate the probability of a sea vessel having an identification ending in "007".

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Suggested Answer: A

by Maryann at Sep 16, 2024, 07:05 PM

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Alaine
10 months ago
Is it really just 0.001? That seems odd.
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Elliott
10 months ago
Totally with you on that, it's super rare!
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Chandra
10 months ago
Wait, how do we know it's not higher?
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Verona
11 months ago
So, the chance is really low!
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Maira
11 months ago
There are 26 letters and 10,000 combinations of digits.
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Vincenza
11 months ago
I feel like the answer could be really small since "007" is just one specific outcome out of many possible ones.
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Melinda
11 months ago
If I recall correctly, there are 26 letters and 10 digits, so that might help us find the total combinations.
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Buddy
11 months ago
I remember something about calculating probabilities with specific outcomes, but I'm not sure how to apply it here.
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Kayleigh
12 months ago
I think we need to figure out how many total combinations there are first, right?
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Nickole
12 months ago
Wait, I'm not sure my logic is right here. Let me re-read the question and think this through again carefully. I want to make sure I don't make any silly mistakes on the exam.
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Sueann
12 months ago
Okay, I think I've got it. The total number of possible sea vessel IDs is 26 * 10^4 = 260,000. And the number of IDs ending in 007 is 26 * 10^3 = 26,000. So the probability should be 26,000 / 260,000 = 0.1.
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Yuonne
12 months ago
Hmm, I'm a bit unsure about how to approach this. Is there a formula I should be using for this type of probability problem? I want to make sure I don't miss any key steps.
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Lisbeth
12 months ago
This seems like a straightforward probability calculation. I'll start by thinking through the total number of possible sea vessel IDs and then focus on the ones ending in 007.
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Rosendo
2 years ago
I'm pretty sure the answer is B) 0.002. Though I have to say, a vessel with '007' as the ending digits sounds like it belongs in a James Bond movie!
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Julio
2 years ago
User4: Definitely, '007' does have that spy vibe to it!
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Cammy
2 years ago
User 3: I agree, B) 0.002 seems to be the correct probability.
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Trinidad
2 years ago
User 2: Yeah, it does sound like a James Bond movie!
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Andra
2 years ago
I agree, B) 0.002 seems to be the correct probability.
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Lajuana
2 years ago
Yeah, it does sound like something from a James Bond movie!
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Tamesha
2 years ago
I think the answer is B) 0.002.
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Rima
2 years ago
I think the answer is B) 0.002.
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Sarah
2 years ago
I would go with option A) 0.001 because it represents a very small chance.
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Carmelina
2 years ago
I agree, it seems like a rare occurrence.
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Lashawnda
2 years ago
D) 0.504? Are you kidding me? That's way too high. The probability can't be over 50%! I'm going with C) 0.003.
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Stephen
2 years ago
D) 0.504? That seems too high. I agree, I'm going with C) 0.003.
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Julieta
2 years ago
C) 0.003
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Eura
2 years ago
B) 0.002
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Sonia
2 years ago
A) 0.001
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Lino
2 years ago
I think the probability of a sea vessel ending in '007' is very low.
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Felix
2 years ago
Hmm, I'd say B) 0.002 is the correct answer. It makes sense that the chance of a random 4-digit number ending in '007' would be 2 in 1000.
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Luisa
2 years ago
A) 0.001? Really? That's way too low. The probability of a sea vessel having an identification ending in '007' should be much higher, right?
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Jarod
2 years ago
D) Yeah, I agree. 0.003 sounds more reasonable.
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Lelia
2 years ago
C) Maybe around 0.003?
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Yolando
2 years ago
B) I think it's higher than that.
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Heidy
2 years ago
A) 0.001? Really? That's way too low.
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