Milli tosses a coin and a six-sided die.The numbers on the die are 1 through 6. What is the probability that Milli will toss a tail and roll an odd number?

Pr(tail AND odd)

there are three odd numbers in six possible numbers.

Pr( )= 1/2 * 3/6= 1/4

To find the probability of tossing a tail and rolling an odd number, we need to determine the number of favorable outcomes and the total number of possible outcomes.

First, let's start with tossing a coin. When tossing a fair coin, there are two possible outcomes - heads or tails. In this case, we want to toss a tail, so there is one favorable outcome.

Next, let's consider rolling a six-sided die. The die has six equally likely outcomes, which are the numbers 1, 2, 3, 4, 5, and 6. Among these, there are three odd numbers - 1, 3, and 5. So, there are three favorable outcomes.

Now, to find the total number of possible outcomes, we multiply the number of outcomes for each event, considering that the outcomes of tossing a coin and rolling a die are independent. Therefore, the total number of possible outcomes is 2 (from the coin) multiplied by 6 (from the die), which equals 12.

So, the probability of tossing a tail and rolling an odd number is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 (favorable outcomes) / 12 (possible outcomes)
Probability = 1/12

Therefore, the probability that Milli will toss a tail and roll an odd number is 1/12.