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12 Feb 2024, 10:10
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m: 6
n: 32
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
43% (02:37) correct
57%
(02:44)
wrong
based on 1188
sessions
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Each Monday through Friday (a workweek), Avinash will bring either exactly one apple or exactly one banana with him to his workplace for an afternoon snack. To avoid having to decide which to bring, each morning Avinash will toss a coin with a face on exactly one side that is equally likely to land faceup or facedown. If the coin lands faceup, then he will bring an apple, and if the coin lands facedown, then he will bring a banana. Avinash correctly determined the probability that, for a given workweek, either he would bring an apple on at least 4 consecutive days or he would bring a banana on at least 4 consecutive days. This probability was m divided by n.Select for m and for n values jointly consistent with the given information. Make only two selections, one in each column.
ID: 700259
| m | n | |
| 4 | ||
| 6 | ||
| 8 | ||
| 12 | ||
| 20 | ||
| 32 |
ShowHide Answer
Official Answer
m: 6
n: 32
15 Mar 2024, 04:44
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In simple words – this is a Quant Probability question in the garb of a TPA question. So, as long as you have solid quant skills, you should be able to solve this question with utmost ease.
So, if you falter in this question, you should implement the stated corrective actions and once you do that not only will your ability in TPA improve but also in quant Arithmetic. 😊
Here is the video solution for you!
So, if you falter in this question, you should implement the stated corrective actions and once you do that not only will your ability in TPA improve but also in quant Arithmetic. 😊
- If you were not able to translate the scenario into probability equation, then the issue is your lack of conceptual understanding related to probability.
- Corrective Action: Build your probability conceptual understanding.
- If you were not able to arrive at the equation that the required probability is the sum of three probabilities as stated, then the issue is that you did not consider all cases.
- Corrective Action: Slow down and understand the scenario presented – at least 4 consecutive days means 4 and 5 days.
- If you did not take the word “consecutive” into account, then the issue is that you did not take into account the constraint established by the scenario.
- Corrective Action: Slow down while reading the scenario and put yourself in the scenario. That always helps with ‘owning the dataset’.
Here is the video solution for you!
12 Feb 2024, 10:11
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Another difficult level question.
Easy, if understood well.
probability as \(\frac{m}{n}\) means favourable outcomes divided by total outcomes.
We can concentrate on just the coin as the banana and apple depend on the outcome of throw of the coin.
Now, the coin will show exactly one of the two faces, so total ways would be 2*2*2*2*2 or \(2^5\).
Each 2 means Head or Tail, and five times multiplication corresponds to give days.
FOUR consecutive heads could be first to fourth day or second to fifth day. FIVE consecutive heads would be be first to fifth day.
Thus, 3 ways.
Similarly, 3 ways for tails.
Thus, favourable outcomes are 3+3 or 6.
P=\( \frac{6}{32}\), that is m = 6 and n = 32
Easy, if understood well.
probability as \(\frac{m}{n}\) means favourable outcomes divided by total outcomes.
We can concentrate on just the coin as the banana and apple depend on the outcome of throw of the coin.
Now, the coin will show exactly one of the two faces, so total ways would be 2*2*2*2*2 or \(2^5\).
Each 2 means Head or Tail, and five times multiplication corresponds to give days.
FOUR consecutive heads could be first to fourth day or second to fifth day. FIVE consecutive heads would be be first to fifth day.
Thus, 3 ways.
Similarly, 3 ways for tails.
Thus, favourable outcomes are 3+3 or 6.
P=\( \frac{6}{32}\), that is m = 6 and n = 32
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