(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
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Chapter1: Starting With Matlab
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(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.
Transcribed Image Text:(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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