A sample of 4 different calculators is randomly selected from a group containing19 that are defective and 32 that have no defects. Find the probability that at least one of the calculators is defective. Round to the nearest thousandth.

The average number of field mice per acre in a 5-acre wheat field is estimated to be 6. Find the probability that fewer than 4 field mice are found on 3 of the next 4 acres inspected.

Find the probability of throwing a sum of 8 at least 2 times 8 throws of a pair of fair 6-sided dice. Answer to the nearest 0.0001.

Find the probability that z is greater than -1.72.

SOLVE STEP BY STEP IN DIGITAL FORMAT Urn A contains 2 white and 4 red marbles. Urn B contains 1 white and 1 red marble. A marble is randomly drawn from urn A and placed in urn B. Then a marble is drawn at random from urn B. Find the probability that the marble selected from urn B is red.

A machine has 32 identical components which function independently. The probability that a component will fail is 0.28. The machine will stop working if more than three components fail. Find the probability that the machine will be working.  Round to the nearest thousandth.

In a batch of 140 calculators, 7 are found to be defective. Estimate the probability that a randomly selected calculator is defective.

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.   please write clearly thank you.