(a) Taylor has five cards, each labelled with a number from 1 to 5. They randomly choose one card and replace it with a new card numbered one higher than their chosen card. For example, if the chosen card is labelled '2', it is replaced with a card labelled 3'. If they choose the card labelled '5', they replace it with a card labelled '1'. They then choose a second card. Find the probability that: i) Both cards are labelled with odd numbers; ii) At least one card is labelled with an even number; iii) Both cards have the same number; iv) Both cards are numbered differently.

(a) Taylor has five cards, each labelled with a number from 1 to 5. They randomly choose one card and replace it with a new card numbered one higher than their chosen card. For example, if the chosen card is labelled '2', it is replaced with a card labelled 3'. If they choose the card labelled '5', they replace it with a card labelled '1'. They then choose a second card. Find the probability that: i) Both cards are labelled with odd numbers; ii) At least one card is labelled with an even number; iii) Both cards have the same number; iv) Both cards are numbered differently.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

(a) Taylor has five cards, each labelled with a number from 1 to 5. They randomly
choose one card and replace it with a new card numbered one higher than their
chosen card. For example, if the chosen card is labelled '2', it is replaced with
a card labelled 3'. If they choose the card labelled '5', they replace it with a
card labelled 1’. They then choose a second card. Find the probability that:
i) Both cards are labelled with odd numbers;
ii) At least one card is labelled with an even number;
iii) Both cards have the same number;
iv) Both cards are numbered differently.

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