Holly is flipping a coin and pulling a marble from a bag. There are 4 white marbles, 2 blue marbles, and 5 green marbles, all of the same size, in the bag. What is the probability that the coin lands on heads and she pulls a green marble from the bag?
prob(head) = 1/2
prob(green) = 5/11
prob(head and green) = (1/2)(5/11) = 5/22
thanks
Well, let's crunch some numbers and bring in the circus clowns! 🎪
First, let's talk about the coin flip. Since there are only two sides to a coin, there is a 1/2 chance of it landing on heads. Easy enough, right?
Now, let's focus on the marbles. Out of the total of 11 marbles in the bag, 5 of them are green. So, the probability of pulling a green marble is 5/11.
To find the probability of both events happening (the coin landing on heads and a green marble being pulled), we multiply the individual probabilities together. So, we get:
(1/2) * (5/11) = 5/22
Therefore, there is a 5/22 chance of Holly flipping the coin and pulling a green marble. And if you're wondering what the clowns have to do with it, well, they just like to join in on the fun! 🤡🤡🤡
To find the probability that the coin lands on heads and she pulls a green marble from the bag, we need to multiply the probability of the coin landing on heads by the probability of pulling a green marble.
The probability of the coin landing on heads is 1/2 since there are two possible outcomes, heads or tails, and they are equally likely.
The probability of pulling a green marble from the bag is 5/11 since there are 5 green marbles out of a total of 11 marbles in the bag.
Therefore, the probability of the coin landing on heads and she pulling a green marble is (1/2) * (5/11) = 5/22.
So, the probability is 5/22.
To find the probability that both events occur, we need to multiply the probabilities of each event happening individually.
First, let's find the probability of the coin landing on heads. Since a coin has two sides (heads and tails) and is a fair coin, the probability of getting heads is 1/2.
Second, let's find the probability of picking a green marble from the bag. There are a total of 4 + 2 + 5 = 11 marbles in the bag. Since there are 5 green marbles in the bag, the probability of picking a green marble is 5/11.
To find the probability of both events occurring, we multiply the probabilities: (1/2) * (5/11) = 5/22.
Therefore, the probability that Holly flips a coin and it lands on heads, and she pulls a green marble from the bag is 5/22.