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sertanlavr [38]
3 years ago
10

fair die was rolled 10 times with the following results: 5 5 1 3 2 1 5 6 5 1 Which of the following is a correct statement about

the next 10 rolls of the same die? There will be three 1’s because there were three 1’s in the first 10 rolls. There were zero 4’s in the first 10 rolls; therefore, there will be zero 4’s in the next 10 rolls. The probability of getting a 5 is greater than the probability of anything else. Each value (1 to 6) has exactly the same probability of being rolled.
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

Each value (1 to 6) has exactly the same probability of being rolled.

Step-by-step explanation:

Given

Rolls: 10

Outcome: 5 5 1 3 2 1 5 6 5 1

Required

Which is true about the next 10 rolls

In the roll of a fair die (as stated in the question), each face has equal probability of being the outcome of individual rolls.

This implies that options (a), (b) and (c) are not true because they do not support the above statement,

<em>Hence, (d) is correct</em>

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\begin{gathered} h\text{ = }\frac{kl}{w} \\ \text{where k is the constant of proportionality} \end{gathered}\begin{gathered} \Rightarrow k=\frac{hw}{l} \\ \Rightarrow k=\frac{25\times5}{10}=12.5 \end{gathered}\Rightarrow h=\frac{12.5l}{w}

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\begin{gathered} \frac{50}{1}=\frac{12.5\times10}{w} \\ \Rightarrow\frac{50}{1}=\frac{125}{w} \\ \text{Cross multiplying, we have} \\ 50w\text{ = 125} \\ \Rightarrow\text{ w=}\frac{125}{50}=2.5 \end{gathered}

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