You can use the formula for conditional probability as Puzzling did. However in this problem it is easier just to restrict yourself and enumerate the cases that are left.

There are 4 jacks. One of them is a heart. So the probability is 1/4. 

If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". 

P(heart and jack)/P(jack) 
= (1/52)/(4/52) = 1/4

7 0

3 years ago

How do i solve this question

frozen [14]

$\bf \begin{cases}
h(x)=(f\circ g)(x)\\
h(x)=\sqrt{x+5}\\
f(x)=\sqrt{x+2}
\end{cases}\\\\
-------------------------------\\\\
(f\circ g)(x)\implies f[\ g(x)\ ]\implies f[\ g(x)\ ]=\sqrt{g(x)+2}\qquad thus
\\\\\\
\sqrt{g(x)+2}=(f\circ g)(x)=h(x)=\sqrt{x+5}\qquad therefore
\\\\\\
\sqrt{g(x)+2}=\sqrt{x+5}\impliedby \textit{squaring both sides}\\\\\\
g(x)+2=x+5\implies g(x)=x+5-2\implies \boxed{g(x)=x+3}$

8 0

3 years ago

Hi need this done fast, please

Blizzard [7]

Length:
60% of 6 is 3.6

3.6 x 6 = 21.6

Width:
150% of 5 is 7.5

7.5 x 5 = 37.5

So her mothers garden should be 21.6 feet in length, and 37.5 feet in width.

5 0

2 years ago

Read 2 more answers

Th e library fi ne for an overdue DVD is $2 for the fi rst day plus $0.25 for each additional day. How many days overdue is a DV

Mumz [18]

The DVD is 6 days overdue

6 0

3 years ago