If you separate all the clubs from a deck of cards and pick 3 of those 13 cards, what is the probability that the cards are jack, queen, and king in ascending or descending order?

Step-by-step explanation:

Given: separate all the clubs from a deck of cards and pick 3 of those 13 cards.

To find: probability that the cards are jack, queen, and king in ascending or descending order

Solution: Ascending and descending are mutually exclusive , thus

P(JQK)=

P(JQK)=

P(KQJ)=

P(KQJ)=

P(JQK or KQJ)=

P(JQK or KQJ)=≈0.0012

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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