Answer:
Step-by-step explanation:
(-3 feet)/(4 weeks) = -¾ foot per week
X^1/2 or x to the 1/2 power
Answer: Pair 1 and Pair 4
Step-by-step explanation:
Answer: 0.02257
Step-by-step explanation:
Given : Total cards in a deck = 52
Number of ways to select any 5 cards : ![^{52}C_5](https://tex.z-dn.net/?f=%5E%7B52%7DC_5)
Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).
Of each kind , there are 4 cards.
Number of ways to select three cards in a five card hand of a single kind : ![^{4}C_3\times^{48}C_2](https://tex.z-dn.net/?f=%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2)
Number of ways to select three cards in a five card hand of a exactly three of a kind : ![13\times^{4}C_3\times^{48}C_2](https://tex.z-dn.net/?f=13%5Ctimes%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2)
Now , the required probability = ![\dfrac{13\times^{4}C_3\times^{48}C_2}{^{52}C_5}](https://tex.z-dn.net/?f=%5Cdfrac%7B13%5Ctimes%5E%7B4%7DC_3%5Ctimes%5E%7B48%7DC_2%7D%7B%5E%7B52%7DC_5%7D)
![=\dfrac{13\times4\times\dfrac{48!}{2!46!}}{\dfrac{52!}{5!47!}}\\\\\\=\dfrac{58656}{2598960}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B13%5Ctimes4%5Ctimes%5Cdfrac%7B48%21%7D%7B2%2146%21%7D%7D%7B%5Cdfrac%7B52%21%7D%7B5%2147%21%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B58656%7D%7B2598960%7D)
![=0.022569027611\approx0.02257](https://tex.z-dn.net/?f=%3D0.022569027611%5Capprox0.02257)
∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257