probability of rolling a sum less than 44

A jar contains four times as many red marbles as blue marbles. What is the probability of drawing a red marble at random? Write your answer as a percentage. Hint: Test out some small values.

Solve the problem. An exit poll during a recent election revealed that 55% of those voting were women and that 65% of the women voting favored Democratic candidates. What is the probability that a randomly chosen participant of the exit poll would be a woman who favored Democratic candidates? Round your answer to nearest ten-thousandth.

Avery sets up a passcode on her tablet, which allows only seven-digit codes. She has heard that it's more secure if a digit is repeated in the passcode. A spy sneaks a look at Avery's tablet and sees her fingerprints on the screen over six numbers. What is the probability the spy is able to unlock the tablet on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

A pair of dice is rolled. What are the odds of rolling a sum of 4 or a sum of 7? The odds of rolling a sum of 4 or a sum of 7 are to (Simplify your answer.)

Camilia sets up a passcode on her tablet, which allows only nine digit codes. A spy sneaks a look at Camilia's tablet and sees her fingerprints on the screen over nine numbers. What is the probability the spy is able to unlock the tablet on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Tardigrades, or water bears, are a type of micro-animal famous for their resilience. In examining the effects of radiation on organisms, an expert claimed that the amount of gamma radiation needed to sterilize a colony of tardigrades no longer has a mean of 1150 Gy (grays). (For comparison, humans cannot withstand more than 10 Gy.) A random sample of 25 tardigrade colonies found that the amount of gamma radiation needed to sterilize a colony had a sample mean of 1133 Gy, with a sample standard deviation of 02 Gy. Assume that the population of amounts of gamma radiation needed to sterilize a colony of tardigrades is appraximately normally distributed. Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.05 level af significance, to support that H, the mean amount of gamma radiation needed to sterilize a colony of tardigrades, is not equal to 1150 Cy. (a) State the null hypothesis H, and the alternative hypothesis H, that you would use for…

What is the probability of getting 9 and 10 on a single roll? (Type your answer as an integer or a fraction.)

What is the probability of being dealt two kings in a row from a deck of cards without replacing the first card drawn? Leave your answer as a percent to the nearest tenth (one decimal) after converting to %.  You can leave out the % sign.

Jack rolls 5 fair six-sided dice. What is the probability that at least two dice show the same number? Express your answer as a fraction in lowest terms.