Mathematics, 21.06.2019 15:50 annadson4589

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

Answers: 2

Show answers

Answers

Answer from: Paigex3

Total no. of cards = 52

No. of spade cards =13

Spade cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of heart cards= 13

Heart cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of diamond cards=13

Diamond cards cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

No. of club cards = 13

Club cards={2,3,4,5,6,7,8,9,10,K,Q,J,A}

a) Compute the probability of randomly selecting a seven or king.

Total no. of kings = 4

So, probability of getting a king = $\frac{\text{No. of kings}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of cards of 7 = 4

So, probability of getting a 7 = $\frac{\text{No. of cards of 7}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

So, the probability of randomly selecting a seven or king = $\frac{1}{13}+\frac{1}{13}$

= $\frac{2}{13}$

b)Compute the probability of randomly selecting a seven or king or jack.

Total no. of kings = 4

So, probability of getting a king = $\frac{\text{No. of kings}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of cards of 7 = 4

So, probability of getting a 7 = $\frac{\text{No. of cards of 7}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

Total no. of jack = 4

So, probability of getting a jack = $\frac{\text{No. of jack cards}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

So, the probability of randomly selecting a seven or king or jack:

= $\frac{1}{13}+\frac{1}{13}+\frac{1}{13}$

= $\frac{3}{13}$

c)Compute the probability of randomly selecting a queen or spade.

No. of queens = 4

So, probability of getting a queen = $\frac{\text{No. of queens}}{\text{Total no. of cards}}$

= $\frac{4}{52}$

= $\frac{1}{13}$

No. of spade cards = 13

So, probability of getting a spade = $\frac{\text{No. of spade cards}}{\text{Total no. of cards}}$

= $\frac{13}{52}$

= $\frac{1}{4}$

So, the probability of randomly selecting a queen or spade = $\frac{1}{13}+\frac{1}{4}$

= $\frac{17}{52}$

Answer from: Quest

You need to show the box plots

Answer from: Quest

the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

step-by-step explanation: