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PIT_PIT [208]
3 years ago
10

Two cards are drawn without replacement from an ordinary deck, find the probabaility that the second is a face card, given thath

at the second is not a seven, given that the first is a seven. what is the conditional probability?
Mathematics
1 answer:
Greeley [361]3 years ago
6 0
Answer is 1.1% chance:
standard deck of cards has 52 cards
jack, queen, and king are face cards, and there are four suits, so in total there are  7 face cards in the deck. There are 4 seven cards in the deck. The probability that the first card is a seven is 0.076923077--> 7.7%, then there are 7 face cards so 7/51 chance 0.137254902--> 13.7% (but that is after 7.7% of 100% has already happened, so we are looking at 13.7% chance of 7.7% chance of 100% cards. Multiply both numbers and you get 0.010558069--> 1.1% chance 
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Find the ratio of the length of this basketball court to its width as a fraction in simplest form.
AlexFokin [52]

Answer:

length=138ft

width=32ft

138:32

69:16

ratio=69/85:16/85

Step-by-step explanation:

8 0
3 years ago
the sum of the first three terms of a sequence Is 42 The fourth term is 24. find u1 and the common difference
e-lub [12.9K]

10=2d

Given:

The sum of the first three terms of a sequence Is 42.

The fourth term is 24.

To find:

The  u₁ and the common difference

Step-by-step explanation:

nth term of a sequence is

u_n=u_1+(n-1)d

where, u₁ is first term and d is common difference.

4th term is 24.

u_4=u_1+(4-1)d

24=u_1+3d           ...(i)

Sum of nth term of an AP is

S_n=\dfrac{n}{2}[2u_1+(n-1)d]

Sum of first three terms is 42.

S_3=\dfrac{3}{2}[2u_1+(3-1)d]

42=\dfrac{3}{2}[2u_1+2d]

Divide both sides by 3.

14=u_1+d          ...(ii)

On subtract (ii) from (i), we get

10=2d

5=d

Put d=5 in equation (ii).

14=u_1+5

14-5=u_1

9=u_1

Therefore, the first term is u_1=9 and common difference is d=5 .

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Add the digits of the given number <br> 1 + 8 + 4 + 5
vladimir1956 [14]
The answer is 18.

I hope this helps :D
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(x-4) is a factor of 3x^2 - 11x -4
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.......................

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