f Melanie tosses a fair coin and rolls a fair number cube labeled 1 through 6, what is the probability of tossing heads followed by rolling a number less than 5?
(1/2)*(4/6)= 1/3
To find the probability of tossing heads followed by rolling a number less than 5, we need to determine the probability of each event separately and then calculate their product.
First, let's determine the probability of tossing heads with a fair coin. A fair coin has two possible outcomes: heads (H) or tails (T). Since each outcome is equally likely, the probability of tossing heads is 1/2 or 0.5.
Next, let's calculate the probability of rolling a number less than 5 with a fair number cube. A fair number cube has six faces labeled 1 through 6. The numbers less than 5 on the cube are 1, 2, 3, and 4. Therefore, the probability of rolling a number less than 5 is 4/6 or 2/3.
Now, we can calculate the probability of both events occurring together by multiplying the probabilities of each event: (1/2) × (2/3) = 1/3 or approximately 0.333.
Therefore, the probability of tossing heads followed by rolling a number less than 5 is 1/3 or approximately 0.333.