Probability Review

import { YtQuiz } from '../js/yt-quiz.js';

Probability 1: Expected Values

questions1 = [
    {
        time: "3:47",
        question: "What is the space of all possible outcomes for rolling two dice?",
        answers: [
            "1 ... 6",
            "2 ... 12",
            "1 ... 36"
        ],
        correct: 1
    },
    {
        time: "4:07",
        question: "What is the probability of each outcome?",
        answers: [
            "Depends",
            "1/6",
            "1/11"
        ],
        correct: 0
    },
    {
        time: "4:44",
        question: "What is the expected outcome of rolling two dice?",
        answers: [
            "3.5",
            "7",
            "12"
        ],
        correct: 1
    },
    {
        time: "5:24",
        question: "What is the probability that the sum is exactly '5'?",
        answers: [
            "4/36",
            "1/6",
            "1/12"
        ],
        correct: 0
    },
]

yt1 = new YtQuiz("U3iP61nTGXU", questions1);
yt1.html();

Probability 2: Linearity of expectations

questions2 = [
    {
        time: "3:14",
        question: "What is the expected value for the total amount of rain?",
        answers: [
            "3.25",
            "5",
            "2.45",
        ],
        correct: 1
    }
]

yt2 = new YtQuiz("ym8E-VzdJus", questions2);
yt2.html();

Probability 3: Indicator variables

Probability 4: Counting with indicator variables

questions4 = [
    {

        time: "1:05",
        question: "What is the probability that only one color is selected?",
        answers: [
            "1/256",
            "1/64",
            "1/4",
        ],
        correct: 1,
    },
    {
        time: "2:40",
        question: "What does your intuition say is a reasonable number?",
        answers: [
            "1",
            "Between 1 and 2",
            "2",
            "Between 2 and 3",
            "3",
            "Between 3 and 4",
            "4",
            "Other",
        ],
        correct: 3,
    }
];
yt4 = new YtQuiz("qcFKGm4iYV0", questions4);
yt4.html();