Question

A jury pool consists of 26 people, 14 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male.

226

likes
1132 views

Answer to a math question A jury pool consists of 26 people, 14 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male.

Expert avatar
Clarabelle
4.7
94 Answers
1. Total combinations of selecting any 12 people from 26:

\binom{26}{12} = 9657700

2. Combinations of selecting 12 men from 14:

\binom{14}{12} = 91

3. The probability that the jury is all male:

\frac{\binom{14}{12}}{\binom{26}{12}} = \frac{91}{9657700} \approx 9.42 \times 10^{-6}

Answer: \frac{91}{9657700} \approx 9.42 \times 10^{-6}

Frequently asked questions (FAQs)
Question: What is the maximum value of the function f(x) = 2x^3 - 5x^2 + 4x - 1 on the interval [0,4]?
+
What is the probability of getting exactly 3 successes in 10 trials with a success rate of 0.6?
+
Math question: Graph the equation y = 2x + 5. Determine the slope and y-intercept. What is the value of y when x = 3?
+
New questions in Mathematics
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
-8+3/5
If L (-2, -5) reflected across y = -4. What are the coordinates of L?
X^2 = 25
3x+5y=11 2x-3y=1
-0.15/32.6
What is the total tolerance for a dimension from 1.996" to 2.026*?
I need to know what 20% or £3292.75
The points (-5,-4) and (3,6) are the ends of the diameter of the circle calculate subequation
30y - y . y = 144
Associate each 2nd degree equation with its respective roots. A) x2+6x+8=0 B)x2-5x-6=0
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
x²-7x+12=0
The following incoming payments show up at a tax inspection: 25 000€ on 19.01.2008, 140 000€ on 27.03.2008 and 19 000€ on a date that which is illegible, and 60 000€ on 15.06.2008. On which date did the payment of the 19 000€ appear, if on 30.06.2008 the money on the account (incl. interest at 4%) is 246 088.89€? Use simple interest and 30E/360 DCC. Solution: 45 days, 15.05.08
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 15 girls in the book club, how many boys are in the club?
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 55.0 min at 100.0 km/h, 14.0 min at 65.0 km/h, and 45.0 min at 60.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
The company produces a product with a variable cost of $90 per unit. With fixed costs of $150,000 and a selling price of $1,200 per item, how many units must be sold to achieve a profit of $400,000?
Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0 .5t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds. DM 2: study of a function Exercise The temperature T in degrees Celsius of a chemical reaction is given as a function of time t, expressed in minutes, by the function defined on ¿ by: T (t )=(20 t +10)e−0.5t. 1) What is the initial temperature? 2) Show that T' (t )=(−10 t +15)e−0.5 t. 3) Study the sign of T' (t ), then draw up the table of variations of T . We do not ask for the limit of T in +∞. 4) What is the maximum temperature reached by the reaction chemical. We will give an approximate value to within 10−2. 5) After how long does the temperature T go back down to its initial value? We will give an approximate value of this time in minutes and seconds.
Find the rule that connects the first number to the second number of each pair. Apply the rule to find the missing number in the third pair. (18 is to 22) (54 is to 26) (9 is to ?)