Question

For the experiment of rolling a single fair die, find the probability of obtaining not less than 5:The probability of obtaining not less than 5 is?

Answer 1

The probability of obtaining not less than 5 when rolling a single fair die is 1/3 or approximately 0.3333.

Step-by-step explanation:

• The probability of obtaining not less than 5 when rolling a single fair die can be calculated by finding the number of favorable outcomes and dividing it by the total number of possible outcomes.
• In this case, the favorable outcomes are rolling a 5 or 6, which are two outcomes.
• The total number of possible outcomes is six (since the die has six faces numbered from 1 to 6).
• Therefore, the probability of obtaining not less than 5 is 2/6, which simplifies to 1/3 or approximately 0.3333.

Answer 2

In a fair die, there are 6 possible outcomes;

The probability of obtaining less than 5 is;

`\begin{gathered} P(less\text{ }than\text{ }5)=(n(lessthanfive))/(n(total)) \\ \\ P(less\text{ }than\text{ }5)=(4)/(6) \end{gathered}`

Thus, the probability of not less than 5 is;

`\begin{gathered} P(not\text{ }less\text{ }than\text{ }5)=1-(4)/(6) \\ \\ P(not\text{ }less\text{ }than\text{ }5)=(2)/(6) \\ \\ P(not\text{ }less\text{ }than\text{ }5)=(1)/(3) \end{gathered}`

ANSWER:

`(1)/(3)`