A coin is flipped, and a number cube is rolling. What is p(T then odd)?
The probability of flipping a Tails on the coin is 1/2 (assuming the coin is fair). The probability of rolling an odd number on a number cube is 1/2 (since there are 3 odd numbers and 3 even numbers on a standard number cube).
To find the probability of both events happening (Tails then odd), we multiply the probabilities:
P(T then odd) = P(T) x P(odd)
P(T then odd) = 1/2 x 1/2
P(T then odd) = 1/4
Therefore, the probability of flipping a Tails and rolling an odd number is 1/4.
To find the probability of the coin landing on tails (T) and the number cube rolling an odd number, we need to determine the individual probabilities first.
The probability of the coin landing on tails is 1/2, as there are two equally likely outcomes (heads and tails). The probability of the number cube rolling an odd number is 3/6, or simplifying, 1/2.
Now, to find the probability of both events happening, we multiply the two probabilities together:
P(T then odd) = P(T) * P(odd)
= (1/2) * (1/2)
= 1/4
Therefore, the probability of the coin landing on tails (T) and the number cube rolling an odd number is 1/4.
To find the probability of a coin landing on tails (T) and then rolling an odd number on a number cube, follow these steps:
Step 1: Determine the sample space
First, determine the sample space for both the coin flip and the number cube. The sample space for a coin flip is {H, T} (where H stands for heads and T stands for tails), and the sample space for a number cube roll is {1, 2, 3, 4, 5, 6}.
Step 2: Calculate the events
Next, calculate the events that satisfy the condition of landing on T (tails) and rolling an odd number. From the sample spaces, the event of getting tails on the coin flip is {T}, and the event of rolling an odd number on the number cube is {1, 3, 5}.
Step 3: Compute the probabilities
To calculate the probability of both events occurring, multiply the probabilities of each event happening. The probability of landing on tails is 1/2, and the probability of rolling an odd number is 3/6 (since there are three outcomes out of six that are odd).
Step 4: Calculate the final probability
Multiply the probabilities of both events to find the final probability.
P(T then odd) = (1/2) * (3/6) = 1/4
Therefore, the probability of flipping a coin and rolling an odd number on a number cube, given that it landed on tails, is 1/4 or 0.25.