🎲 probability

1. **Problem statement:** (a) Nila claims she has a 50:50 chance of having one of her 4 chosen numbers drawn first from numbers 1 to 24.

1. **Problem statement:** Find the probability that a dolphin group is around in the morning and is partaking in social activities (f).

1. **State the problem:** We have a table showing dolphin group activities at different times of day. We want to find various probabilities related to social activities and times o

1. **State the problem:** We need to find the probability that a randomly chosen camper is a 13-year-old boy. 2. **Recall the probability formula:**

1. **State the problem:** We have two events from rolling a six-sided die: - Event E: "the number rolled is even"

1. **State the problem:** We need to find the total probability that a visitor's first ride is either the spinning teacups or the roller coaster, given as 20% + 0.34. 2. **Convert

1. **Problem statement:** There are 36 people at a gathering from two families: 25 named Lee and 11 named Chan. We select two people at random. 2. **(a) Probability both have the n

1. **State the problem:** We want to find the probability that the last card dealt from a shuffled deck of 52 cards, after dealing 13 cards, is an ace. 2. **Understand the scenario

1. **Stating the problem:** We have four patrol teams starting from Station A at 09:00 and returning by 12:00, patrolling roads connecting six police stations (A, B, C, D, E, F). W

1. **State the problem:** We want to find the standard deviation of Ahmed's total winnings after playing the game twice independently. 2. **Given probabilities and winnings:**

1. **State the problem:** Antoine plays a game 50 times per day for 60 days. Each game has a 5% chance to win 40, 15% chance to win 8, and 80% chance to lose 1. Ahmed earns 130 per

1. **State the problem:** We want to find the probability that an 11-letter password, formed from the English alphabet letters at random, consists only of vowels. 2. **Identify vow

1. **State the problem:** We have a biased dice where the probability of rolling a 6 is $\frac{1}{5}$. We want to complete the tree diagram for two rolls and find the probability o

1. **State the problem:** Helen rolls a dice and flips a coin. We need to find the probability that she gets a 4 on the dice and a tail on the coin. 2. **Understand the sample spac

1. **Problem statement:** Ricardo has 6 pairs of socks, each pair a different color: red, brown, green, white, black, and blue. He reaches into the drawer to get one pair. We analy

1. The problem is to fill in the blanks with the correct terms related to probability and experiments. 2. Definitions and explanations:

1. **State the problem:** We want to find the probability that the player gets a strike on the second throw, given that they did not get a strike on the first throw. 2. **Given dat

1. **Problem Statement:** From the given group of 5 persons, find the probability that the spokesperson selected at random is a male. 2. **Data:** The group consists of 5 persons:

1. **Problem 1: Probability Sam's brother did not choose the correct card** A standard deck has 52 cards. The probability of choosing the correct card is $\frac{1}{52}$.

1. **State the problem:** We need to order the bags A, B, and C by their probabilities of picking a green counter from lowest to highest. 2. **Given probabilities:**

1. The problem is to find the value of $P(2)$ given the probability mass function of a geometric distribution: $$P(x) = p(1 - p)^{x - 1}$$