So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
$\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}$

Hope this helps.

3 0

3 years ago

Find the value of x that makes lines u and v parallel.

omeli [17]

Answer:

x = 5

Step-by-step explanation:

From the picture attached,

If the lines u and v are parallel and a third line (transversal) is intersecting these lines at two distinct points,

Both the angles given in the picture, will be equal in measure as these angles are interior alternate angles.

16x = 15x + 5

16x - 15x = 5

x = 5

Therefore, x = 5 makes the lines v and u parallel.

3 0

3 years ago