🎲 probability

1. **Problem statement:** We have a population where 8% actually have COVID-19. The test has a true positive rate of 92% and a false positive rate of 6%. We want to find: 1. Probab

1. Problem: A spinning wheel has 3 green sectors, 1 blue sector, and 1 red sector, totaling 5 sectors. 2. Calculate the probability of each event as the ratio of favorable outcomes

1. The quiz has 10 questions, each with 6 possible answers, and answers are guessed randomly. 2. Passing requires at least 70% correct, so minimum correct answers to pass is $\lcei

1. **State the problem:** We have a spinner divided into 3 equal sections labeled 1, 2, and 3, spinning fairly. 2. **Part (a):** Find the probability of spinning a 2.

1. The problem states that the probability of the spinner landing on a striped section is $\frac{7}{10}$. We want to find the expected number of times it lands on a striped section

1. Problem: Determine which pairs of events are independent when drawing a single card from a standard 52-card deck. 2. Recall that two events A and B are independent if $$P(A \cap

1. Problem: Todd's locker combination has two numbers, each can be from 1 to 6. 2. We want the probability that Todd guesses the first number correctly and the second number incorr

1. The problem is to find the probability of getting between 2 and 5 heads inclusive in 9 tosses of a fair coin. This means finding $P(2 \leq X \leq 5)$ where $X$ is the number of

1. **Problem Statement:** Find the probability of getting between 2 and 5 heads inclusive in 9 tosses of a fair coin.

1. **Problem Statement:** James rolls a fair six-sided die and draws one card from 17 cards numbered 1 to 17. We are asked to solve four parts related to this experiment. 2. **(a)

1. **State the problem:** We want to find two probabilities based on the Venn diagram data of 45 dancers who like tango (T), hip-hop (H), or quick-step (Q). 2. **Identify the numbe

1. Nyatakan masalah: Kita ingin mengira kebarangkalian memilih seorang lelaki dan seorang perempuan dari keluarga Aziz dan Deeva yang terdiri daripada jumlah lelaki dan perempuan y

1. Problem statement: We have two families with the following members:

1. **Problem statement:** We toss a fair coin 3 times. (1) Find the probability of exactly 2 heads.

1. **State the problem:** We toss a fair coin 3 times and want to find (1) the probability of exactly 2 heads, (2) the probability of more than 1 tail, and (3) the probability of a

1. **Problem statement:** A fair coin is tossed repeatedly. Given tails appear on the first four tosses, find the probability of heads on the 5th toss. 2. **Understand independence

1. The problem asks for the probability that an integer chosen from the set $\{1, 2, 3, \ldots, 500\}$ is divisible by 7 or 11. 2. Use the formula for the probability of the union

1. The problem asks for the probability of getting heads on the 5th toss given that the first four tosses were tails. 2. Since the coin is fair, the probability of heads or tails o

1. The problem asks to find the probability that a randomly chosen integer from 1 to 500 is divisible by 7 or 11. 2. We use the formula for the probability of divisibility by eithe

1. The problem asks for the probability of heads appearing on the 5th toss given that tails appeared on the first four tosses of a fair coin. 2. In a fair coin toss, each toss is i

1. The problem asks for the probability of heads appearing on the 5th toss given that tails appeared on the first four tosses of a fair coin. 2. Each toss of a fair coin is indepen