Focus on new types of 3 card sequences with respect to flipping over a series of cards. (a) Determine the probability that the first and the second card in the sequence have the same value but the third card has a different value. Please show any calcula- tions you used to determine this probability including, for example, your calculations for the number of sequences that achieve this property and/or the number of 3 card sequences. (b) Your answer and approach to (a) may help. (i) Determine the probability that a 3 card sequence will be ‘All Unique.’ (ii) Determine the probability that a 3 card sequence will all have the same value (one example sequence is having 3 kings; another example is having 3 7s). (iii) Determine the probability that a 3 card sequence will have two cards with the same value (i.e., a pair) and the third card will have a different value.
Focus on new types of 3 card sequences with respect to flipping over a series of cards. (a) Determine the probability that the first and the second card in the sequence have the same value but the third card has a different value. Please show any calcula- tions you used to determine this probability including, for example, your calculations for the number of sequences that achieve this property and/or the number of 3 card sequences. (b) Your answer and approach to (a) may help. (i) Determine the probability that a 3 card sequence will be ‘All Unique.’ (ii) Determine the probability that a 3 card sequence will all have the same value (one example sequence is having 3 kings; another example is having 3 7s). (iii) Determine the probability that a 3 card sequence will have two cards with the same value (i.e., a pair) and the third card will have a different value.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Please do this with hand written work
Focus on new types of 3 card sequences with respect to
flipping over a series of cards.
(a) Determine the probability that the first and the second card in the sequence
have the same value but the third card has a different value. Please show any calcula-
tions you used to determine this probability including, for example, your calculations
for the number of sequences that achieve this property and/or the number of 3 card
sequences.
(b) Your answer and approach to (a) may help. (i) Determine the probability
that a 3 card sequence will be ‘All Unique.’ (ii) Determine the probability that a 3 card
sequence will all have the same value (one example sequence is having 3 kings; another
example is having 3 7s). (iii) Determine the probability that a 3 card sequence will have
two cards with the same value (i.e., a pair) and the third card will have a different value.
Expert Solution
Step 1: State given information
Cards are laid out in a series from where they are flipped over sequentially.
Cards have 4 suits and 13 ranks or 13 values as per the question.
We can assume that the deck is a standard deck with 52 cards.
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