High school probability Uncovered: Discover the Secrets with Plainmath's Expert Help

A king comes from a family of two children. What is the probability that his sibling is a sister? A)1/2; B)1/3; C)2/3; D)3/4

What is the probability of getting a black ace or a red jack when drawing a card from a deck of 52?

Write additive inverse and multiplicative inverse of $\frac{1}{5}$.

Let X represents the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?

What is the formula of ${\left(A+B\right)}^3$?

Lynn and Dawn tossed a coin 50 times and got heads 22 times .What is the experimental probability of tossing heads using Lynn and Dawn'results?

George will play a game at the school fair in which he will toss a penny, a dime, and a quarter at the same time. He will receive 3 points for each coin that lands with heads face up. Let a represent the total number of points awarded on any toss of the coins. What is the expected value of a?

Use the summation formulas to rewrite the expression without the summation notation. Use the result to find the sums for $n=10,100,1000and10,000$.$\sum k=1n\frac{6k\left(k-1\right)}{n^3}$

If you roll five dice, what are the odds of rolling five 5's?

You toss a coin and randomly select a number from 0 to 9. What is the probability of getting tails and selecting a 1?

If x varies directly as a square of y for y=6, x=72. Find x for y=9.

Which polynomial is a quintic binomial?
A. ${\mathrm{x}}^4-2{\mathrm{x}}^3-{\mathrm{x}}^2+7\mathrm{x}+11$
B. ${\mathrm{x}}^2+4\mathrm{x}$
C. $3{\mathrm{x}}^5+2$
D. $5{\mathrm{x}}^2-2\mathrm{x}+1$

The state of Georgia has several statewide lottery options. One of the simpler ones is a "Pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. With a bet of $1, you win $470 if your number is selected and nothing ($0) otherwise.
(a) With a single $1 bet, what is the probability that you win $470?
(b) Let X denote your winnings for a $1 bet, so x = $0 or x = $470. Construct the probability distribution for X. Use 3 decimal places.
X P(X)
$0 $470
(c) The mean of the distribution equals $
(d) Would this be considered a gain for you?
No. For every $1 I pay, I will lose $ 0.53 on average.
No. For every $1 I pay, I will lose $0.47 on average.
Yes. For every $1 I pay, I will win $0.47 on average.
(e) If you play "PICK 3" 100 times, how much should you expect to lose? $

What is the absolute value of $8$?

How do you convert probability to percentage?

What is the expansion of ${\left(x-1\right)}^4$?

A random sample of residents in city J were surveyed about whether they supported raising taxes to increase bus service for the city. From the results, a 95 percent confidence interval was constructed to estimate the proportion of people in the city who support the increase. The interval was (0.46,0.52)(0.46,⁢0.52).
Which of the following claims is supported?
A) More than 90 percent of the residents support the increase.
B) More than 60 percent of the residents support the increase.
C) More than 40 percent of the residents support the increase.
D) Fewer than 10 percent of the residents support the increase.
E) Fewer than 25 percent of the residents support the increase.

IQ scores are normally distributed with a mean of 100 and standard deviation of 15. This implies a person with “average” intelligence scores 100 on an IQ Test. Various Psychological Classifications dub people with IQ scores of 130 as extremely intelligent or suggest they exhibit superior intelligence. What is the approximate probability that a random IQ test taker will score between 100 and 130?

Use the binomial theorem to expand $(d-<!--\; -\; -->4b{)}^3$