🎲 probability

1. **Stel het probleem vast:** We hebben een fruitautomaat met drie banden, elk met 20 plaatjes. De tabel geeft aan hoeveel keer elk plaatje op elke band voorkomt. 2. **Gegeven tab

1. **State the problem:** We want to find the probability that a randomly selected person from the poll has completed some post-secondary education and believes people should be al

1. **State the problem:** We have an abbreviated deck with 20 cards: 4 Jacks, 4 Queens, 4 Kings, 4 Aces, and 4 10s. Each type has one card of each suit (hearts, diamonds, spades, c

1. **State the problem:** We have a game where a player pays 5 to draw a coin from a chest containing 1 gold, 4 silver, 10 copper, and 25 brass coins. Each coin has a different win

1. **State the problem:** We have a test with two sections, A and B.

1. **State the problem:** We want to find the probability that Rosie does her homework given the probabilities related to her going to the beach and doing homework.

1. **Problem statement:** We have a random variable for the error in pipe length from Machine B with pdf $$b(x) = 42187(x-1)^2(10-x)$$ for $$1 \leq x \leq 10$$ and zero elsewhere.

1. **Problem Statement:** Given the joint density function $$f(x,y) = xy^2 + \frac{x^2}{8}$$ for $$0 \leq x \leq 2$$ and $$0 \leq y \leq 1$$, find the probabilities:

1. **State the problem:** We have a spinner with outcomes 1, 2, and 3, and a coin with outcomes Heads (H) and Tails (T). We want to find the sample space of all possible outcomes w

1. **Problem Statement:** Given the probability density function (PDF)

1. **Problem statement:** Given the pmf $p(x)$ for $x=0,1,2,3$ as $p(0)=0.2$, $p(1)=0.3$, $p(2)=0.4$, $p(3)=0.1$, we need to verify it is a pmf, find the cdf values, compute the me

1. **State the problem:** Find the probability of rolling a 4 on a six-sided dice and the probability of the complementary event.

1. **State the problem:** Peyton draws two marbles from a bag containing one red, one blue, and one green marble. Each time, the marble is returned to the bag before the next draw.

1. **Problem statement:** We consider a random variable $X$ with the given distribution: $$\begin{array}{c|c|c|c|c|c|c}

1. **Problem statement:** Connor Hellebuyck has a save percentage of 92.6%, meaning the probability of making a save on any shot is $p=0.926$. There are $n=20$ shots. We want to fi

1. **Problem statement:** Calculate the probability for each of the following when rolling two six-sided dice: - Getting the same number on each roll.

1. The problem asks for the probability of picking a card with an even number from the given set of cards. 2. The numbers on the cards are: 7, 11, 12, 13, 14, 18, 21, 23, 27, and 2

1. **Problem statement:** You spin a wheel with two letters: A (3/4 probability) and B (1/4 probability).

1. The problem is to find the probability of having exactly 2 defective parts in a given scenario. 2. We use the binomial probability formula for this type of problem: $$P(X = k) =

1. **State the problem:** Shelia has a probability distribution for the number of defective parts $X$ found in a day with probabilities given as:

1. **Problem statement:** We have a pack of 10 cards: 6 red cards numbered 1, 2, 3, 4, 5, 6 and 4 black cards numbered 1, 2, 3, 4.