You flip a coin and you roll a number cube. What is the probability that you flip heads and roll a number less than 3?
To calculate the probability of flipping heads and rolling a number less than 3, we need to determine the probability of each event separately and then multiply the probabilities together.
Step 1: Determine the probability of flipping heads:
When flipping a fair coin, there are two possible outcomes: heads or tails. Since there is only one head on a coin, and assuming the coin is fair, the probability of flipping heads is 1/2 or 0.5.
Step 2: Determine the probability of rolling a number less than 3:
When rolling a fair number cube, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. In this case, we want to roll a number less than 3, which means only the outcomes 1 and 2 are favorable. So, the probability of rolling a number less than 3 is 2/6 or 1/3.
Step 3: Multiply the probabilities together:
To calculate the probability of both events occurring, we multiply the probability of flipping heads (0.5) by the probability of rolling a number less than 3 (1/3):
0.5 * 1/3 = 0.1667 or approximately 0.17.
Therefore, the probability of flipping heads and rolling a number less than 3 is 0.17, or 17%.
less than three is a one, or two.
pr=1/2 * 1/6 + 1/2 * 1/6= 1/6
or is a word that indicates add the probabilities of each.