Opposite Face of a Die and Other Problems

Problem Statement

Six faces of a die are marked with letters A, B, C, D, E, and F. The die is rolled three times and lands as shown in the following views: View (i): Visible faces are A (top), B (front), C (right). View (ii): Visible faces are D (top), C (front), E (right). View (iii): Visible faces are F (top), E (front), B (right). Which letter is to the opposite of E? A B C D There are five people - Peter, Tyson, Richard, Steve and Quinn - standing in a row. Tyson is on the leftmost position. Richard is on the second position from the right. Peter is next to Quinn and Steve is next to Richard. Steve is not next to Tyson. Peter stands somewhere to the right of both Quinn and Tyson. Peter and Richard are next to each other. Who is in the middle? Quinn Steve Peter Richard In a group of 50 people, 20 are vegetarian. If two people are selected at random, what is the expected number of vegetarians? 0.4 0.8 1.2 0.5 There are 729 farmers in a state, each owning 6 animals. The animals are either cows or hens.