I need help on one of my math questions.

7. A coin is flipped, and a number cube is rolled. What is P(T, then odd)? (1 point)

1/4
1/12
1/6

Help plz.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

1/2 * 3/6 = ?

Ah, the mysteries of probability! Let me lend a hand, or rather, a joke, to lighten the mood.

Why did the coin start doing stand-up comedy? Because it realized it had a lot of "flipping" potential! But let's focus on your question.

To find the probability of two events occurring in sequence, we multiply their individual probabilities together.

The probability of getting tails on a coin flip is 1/2 (since there are two equally likely outcomes: heads or tails). And the probability of rolling an odd number on a number cube is 1/2 (since there are six equally likely outcomes, and three of them are odd).

So, P(T, then odd) = (1/2) * (1/2) = 1/4.

Therefore, the answer is 1/4. Option A. Hope this clears things up and brings a smile to your face!

To find the probability of flipping tails (T) and then rolling an odd number, we need to multiply the probabilities of each event.

1. Let's start with the coin flip. Since there are two possible outcomes (heads or tails) and only one of them is tails, the probability of flipping tails is 1/2.

2. Next, we consider the number cube roll. A number cube has six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these, three of them are odd numbers: 1, 3, and 5. So, the probability of rolling an odd number is 3/6, which simplifies to 1/2.

To calculate the probability of both events happening, we multiply the probabilities:

P(T, then odd) = P(T) * P(odd) = (1/2) * (1/2) = 1/4.

Therefore, the correct answer is 1/4.

To find the probability of getting a tails (T) when a coin is flipped, and then rolling an odd number on a number cube, you need to determine the probability of each event separately and then multiply them together.

Step 1: Determine the probability of flipping a tails (T)
When flipping a fair coin, there are two possible outcomes: heads (H) or tails (T). Each outcome has an equal chance of occurring. Therefore, the probability of flipping a tails is 1/2.

Step 2: Determine the probability of rolling an odd number
When rolling a fair number cube, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Out of these six outcomes, three are odd numbers: 1, 3, and 5. Therefore, the probability of rolling an odd number is 3/6, which simplifies to 1/2.

Step 3: Multiply the probabilities
To find the probability of both events occurring, multiply the probability of flipping a tails (1/2) by the probability of rolling an odd number (1/2):

(1/2) * (1/2) = 1/4

So, the probability of getting a tails, and then rolling an odd number is 1/4.

Therefore, the correct answer to your question is 1/4.