Jennifer has a fair coin and a wooden cube. On the cube, there are two faces colored green, two faces colored blue, and two faces colored red. Jennifer flips the coin and tosses the cube. What is the probability of getting both tail on the toss of the coin and a green face on the roll of the cube.
prob(tail and green face) = (1/2)(2/6) = 1/6
To find the probability of obtaining both tails on the coin and a green face on the cube, we need to calculate the probability of each event separately and then multiply them together.
Step 1: Calculate the probability of getting tails on the coin flip.
Since the coin is fair, it has two equally likely outcomes: heads and tails. The probability of getting a tail is 1/2.
Step 2: Calculate the probability of getting a green face on the cube.
The cube has six faces with two green faces. So, the probability of rolling a green face is 2/6 or 1/3.
Step 3: Multiply the probabilities of the two events together.
To find the probability of both events occurring simultaneously, multiply their individual probabilities:
P(Tail on the coin) * P(Green face on the cube) = 1/2 * 1/3 = 1/6.
Therefore, the probability of getting both tails on the coin toss and a green face on the roll of the cube is 1/6 or approximately 0.1667.
To find the probability of getting both tails on the coin flip and a green face on the cube roll, we need to multiply the probabilities of these two separate events.
The probability of getting tails on a fair coin flip is 1/2, since there are two equally likely outcomes (heads or tails) and only one of them is tails.
The probability of getting a green face on the roll of the wooden cube is 2/6, or simplified as 1/3. This is because there are six equally likely outcomes (green, blue, red, green, blue, red), and two of them are green.
To find the probability of both events occurring, we multiply these probabilities: (1/2) * (1/3) = 1/6.
Therefore, the probability of getting both tails on the coin flip and a green face on the cube roll is 1/6.