please help and show work You draw five cards from a standard deck of playing cards.(a) How many hands contain exactly two cards from the heart suite?(b) How many hands contain only cards from the heart suite?(e) How many hands contain four-of-a-kind, i.e. four 2's, four 5's, etc.?(d) *BONUS* how many hands contain three-of-a-kind and are not full houses?

Answered: You draw five cards from a standard…

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 help and show work

You draw five cards from a standard deck of playing cards.
(a) How many hands contain exactly two cards from the heart suite?
(b) How many hands contain only cards from the heart suite?
(e) How many hands contain four-of-a-kind, i.e. four 2's, four 5's, etc.?
(d) *BONUS* how many hands contain three-of-a-kind and are not full houses?

Expert Solution

Step 1

Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.

A standard deck of cards contains a total of 52 cards. Thus, the sample size is $n = 52$ .

Only $x = 5$ cards are selected from 52 cards.

There are four suits: Heart, Diamonds, Clubs, and Spades.