Question

stefan rolls a 1 - 6 number cube and flips a coin. what is the probability he rolls a number less than 5 and the coin lands on tails? 8.33% 33.33% 41.67% 66.67%

Explanation:

Step1: Calculate probability of rolling a number less than 5

There are 4 numbers less than 5 on a 1 - 6 number cube (1, 2, 3, 4). The total number of outcomes when rolling a cube is 6. So the probability $P_1=\frac{4}{6}=\frac{2}{3}$.

Step2: Calculate probability of coin landing on tails

When flipping a coin, there are 2 possible outcomes (heads or tails). So the probability of getting tails $P_2 = \frac{1}{2}$.

Step3: Calculate the combined probability

Since the two events (rolling the cube and flipping the coin) are independent, we multiply the probabilities of each event. $P = P_1\times P_2=\frac{2}{3}\times\frac{1}{2}=\frac{1}{3}\approx 33.33\%$.

Answer:

33.33%