You are certain to get 3 jacks when selecting 51 cards from a shuffled deck. express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

0.001145

Step-by-step explanation:

Given that you are certain to get 3 jacks when selecting 51 cards from a shuffled deck.

When we draw 3 cards from 51 cards, we keep one card aside

The card can be either Jack or non Jack

Prob (the left over card to be Jack) = P(A) =

Prob (the left over card to be non jack ) = P(B) =

A and B are mutually exclusive and exhaustive

Let drawing 3 Jacks be the event C

P(C) = P(AC)+P(BC)

P(BC) = P(B)*P(C/B)\\

= \frac{28}{52} (4/51C3)\\

=1.034(10^{-4}

Adding we get

P(C)

=

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or