Based on the information given, the probability that a success is defined as getting a three on a six-sided die, and you want to find the probability of rolling less than 3 (P(x < 3)) out of 10 rolls, we can approach this problem using the binomial distribution.
Here's how you can calculate the probability:
1. P(x < 3) represents the probability of getting a result less than 3 in each of the 10 rolls.
2. To calculate this, you would sum the probabilities of getting 0, 1, or 2 successes (rolling a three) out of the 10 trials.
3. The binomial cumulative distribution function (binomcdf) can be used to find this probability.
4. Each trial has a probability of success of 1/6 (rolling a three on a six-sided die).
5. Therefore, the correct expression to calculate P(x < 3) for rolling the die 10 times would be:
C. 1 - binomcdf(10, 1/6, 3)
By using this expression, you will find the cumulative probability of getting less than 3 (0, 1, or 2) successes in 10 trials of rolling the die with the given definition of success.
Remember, the binomial cumulative distribution function helps in finding the cumulative probabilities up to a certain number of successes in a fixed number of trials with a defined probability of success.
