Answer :
The probability that she chooses 4 spades and 2 cards that are not spades is, 0.0260.
The probability that she chooses 2 red face cards is 0.1202.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
As given, Carrie draws 6 cards simultaneously from a well-shuffled deck of 52 playing cards. She chooses 4 spades and 2 cards that are not spades.
There are 52 cards in total. 39 of them are not spades, whereas 13 of them are.
Consequently, the likelihood that she will select 4 spades and 2 non-spade cards is as follows:
[tex]\frac{(13C4)(39C2)}{(52C6)} = \frac{715(741)}{20358520} = 0.0260[/tex]
Therefore, the option (b) is the correct.
Now she chooses 2 red face cards.
There are 52 cards in total. Six of them have red faces, but the other forty-six do not.
The likelihood that she will select two red face cards is as follows:
[tex]\frac{6C2(46C4)}{52C6} = \frac{15(163185)}{20358520} = 0.1202[/tex]
Therefore, the probability that she chooses 2 red face cards is 0.1202.
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