Answer: 0.00153
Step-by-step explanation:
Given: An experiment consists of dealing 7 cards from a standard deck of 52 playing cards.
Number of ways of dealing 7 cards from 52 cards = ![^{52}C_7](https://tex.z-dn.net/?f=%5E%7B52%7DC_7)
Since there are 13 clubs and 13 spades.
Number of ways of getting exactly 4 clubs and 3 spades=![^{13}C_4\times\ ^{13}C_3](https://tex.z-dn.net/?f=%5E%7B13%7DC_4%5Ctimes%5C%20%5E%7B13%7DC_3)
Now, the probability of being dealt exactly 4 clubs and 3 spades
![=\dfrac{^{13}C_4\times\ ^{13}C_3}{^{52}C_7}\\\\\\=\dfrac{{\dfrac{13!}{4!(9!)}\times\dfrac{13!}{3!10!}}}{\dfrac{52!}{7!45!}}\\\\=\dfrac{715\times286}{133784560}\\\\=0.00152850224271\approx0.00153](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B%5E%7B13%7DC_4%5Ctimes%5C%20%5E%7B13%7DC_3%7D%7B%5E%7B52%7DC_7%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%7B%5Cdfrac%7B13%21%7D%7B4%21%289%21%29%7D%5Ctimes%5Cdfrac%7B13%21%7D%7B3%2110%21%7D%7D%7D%7B%5Cdfrac%7B52%21%7D%7B7%2145%21%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B715%5Ctimes286%7D%7B133784560%7D%5C%5C%5C%5C%3D0.00152850224271%5Capprox0.00153)
Hence, the probability of being dealt exactly 4 clubs and 3 spades = 0.00153
Answer:
t = 11,794 years
Step-by-step explanation:
If you are looking for a confirmation that your answer is correct, it is.
6
10+(-4)
=10-4
=6
!!!!!!!!!!!!!!!!
Answer:
10
Step-by-step explanation:
The sum of all the interior angles of a pentagon is 540°
So...
540 = 12x + 7x + 16x+ 9x + 10x
Combine like terms:
540 = 12x + 7x + 16x+ 9x + 10x
540 = 54x
Divide by 54 on both sides:
540 = 54x
/54 /54
10 = x
Hope this helps :)
Answer:
24
Step-by-step explanation:
24
The LCM of 3,8,12 3 , 8 , 12 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 3,8,12 3 , 8 , 12 is 2⋅2⋅2⋅3=24 2 ⋅ 2 ⋅ 2 ⋅ 3 = 24 .