🎲 probability

1. The problem asks for the probability that Mrs. Jones will have a baby who is both a boy and has blue eyes. 2. We are given:

1. **State the problem:** We have a box with 2 white and 3 blue marbles, total 5 marbles. 2. We pick two marbles one after the other without replacement.

1. **State the problem:** We are given three pairs of events related to rolling a fair six-sided die. We need to determine if each pair of events is mutually exclusive. If not, pro

1. **State the problem:** We want to estimate the probability of Edward winning the prize wheel after 800 spins, given previous data. 2. **Given data:**

1. The problem states that events X and Y are mutually exclusive, which means they cannot happen at the same time. 2. Given probabilities are $P(X) = \frac{1}{3}$ and $P(Y) = \frac

1. **Problem:** Find the probability of getting an odd number in a single toss of a fair die. Step 1: The sample space for a die toss is $\{1,2,3,4,5,6\}$ with 6 outcomes.

1. ปัญหาคือการหาความน่าจะเป็นที่ผลรวมของแต้มบนลูกเต๋า 2 ลูก เท่ากับ 7 2. ลูกเต๋าแต่ละลูกมีแต้มตั้งแต่ 1 ถึง 6 ดังนั้นจำนวนผลลัพธ์ทั้งหมดเมื่อทอย 2 ลูกคือ $6 \times 6 = 36$

1. **Problem statement:** We have 12 households with TVs in use during a Green's Anatomy broadcast. The share is 29%, so the probability a household is tuned to Green's Anatomy is

1. The problem asks for the chance to get the item labeled "???" which has a probability of 0.02%. 2. To express this probability as a decimal, convert the percentage by dividing b

1. **Stating the problem:** We have three types of pastries with given total counts and counts made from quality ingredients. We want to find probabilities related to quality and t

1. **Problem statement:** We analyze probabilities of events A, B, and C occurring, including cases of mutual exclusivity.

1. **Problem statement:** Customer calls arrive at a call center following a Poisson process with a mean rate of 10 calls per hour. Let $T$ be the interarrival time between two con

1. The problem states that $f(x) = kx^3$ for $0 < x < 1$ and $f(x) = 0$ elsewhere is a probability density function (p.d.f). We need to find the value of $k$. 2. For $f(x)$ to be a

1. ננסח את הנתונים: - ההסתברות שתושב הוא צמחוני: $P(V) = 0.2$

1. **State the problem:** We are given the probability of catching a fish on a cloudy day as $\frac{7}{10}$ and on a clear day as $\frac{3}{5}$. The probability of a cloudy day is

1. **State the problem:** We are given the probability of catching a fish on a cloudy day as $\frac{7}{10}$ and on a clear day as $\frac{1}{5}$. The probability of a cloudy day is

1. **State the problem:** We are given the probability of catching a fish on a cloudy day as $\frac{7}{10}$ and on a clear day as $\frac{1}{5}$. The probability of a cloudy day is

1. **State the problem:** We are given the probability of catching a fish on a cloudy day as $\frac{7}{10}$ and the probability of a cloudy day as $\frac{3}{5}$. We want to find th

1. **Problem statement:** Maddie rolled a six-sided dice 50 times and it landed on an even number 24 times. We need to find: a) The relative frequency of landing on an even number.

1. The problem states that there are 24 bags of crisps in total. 2. We are given the probabilities of picking each flavour: Barbecue $\frac{1}{6}$, Chicken $\frac{1}{3}$, Pepper $0

1. The problem asks for the best estimate of the probability that the spinner lands on blue, given the frequencies after different numbers of spins. 2. Probability is estimated by