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The probability that you roll a two on a six-sided die is. If you roll the die 60 times,
how many twos can you expect to roll?
10 twos
50 twos
30 twos
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Verified Answer :

GinnyAnswer

Let's solve this problem step-by-step.

1. Probability of Rolling a Two:
First, we need to determine the probability of rolling a two on a six-sided die. A six-sided die has six faces, each showing a different number from 1 to 6. There is only one face with the number two on it. Therefore, the probability of rolling a two is:

\(\[ \text{Probability of rolling a two} = \frac{1}{6} \]\)

2. Number of Rolls:
We are given that the die is rolled 60 times.

3. Expected Number of Twos:
To find the expected number of times a specific outcome (rolling a two, in this case) will occur, we multiply the probability of that outcome by the number of trials (rolls). So, we calculate the expected number of twos as:

\(\[ \text{Expected number of twos} = \left(\frac{1}{6}\right) \times 60 \]\)

From the calculation, we get:

\(\[ \text{Expected number of twos} = 0.16666666666666666 \times 60 = 10 \]\)

Therefore, if you roll the die 60 times, you can expect to roll a two approximately 10 times.

Answer:
You can expect to roll a two 10 times.

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