vladimir rolls a six - sided number cube 36 times. if getting a 3 is a success, what is the probability of a…
vladimir rolls a six - sided number cube 36 times. if getting a 3 is a success, what is the probability of a success?\n$\\frac{1}{6}$\n$\\frac{1}{3}$\n$\\frac{2}{3}$\n$\\frac{5}{6}$
Answer
Explanation:
Step1: Identify possible outcomes
A six - sided number cube has 6 possible outcomes: 1, 2, 3, 4, 5, 6. So the total number of possible outcomes $n = 6$.
Step2: Identify successful outcomes
A success is getting a 3. There is only 1 way to get a 3, so the number of successful outcomes $m=1$.
Step3: Calculate probability
The probability of an event is given by the formula $P=\frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}}$. Substituting $m = 1$ and $n=6$ into the formula, we get $P=\frac{1}{6}$.