Question

One card is drawn from a deck of 20 cards numbered 1 through 20. Find the...

One card is drawn from a deck of 20 cards numbered 1 through 20. Find the probability of each scenario. (Enter your probabilities as fractions.)

(a) The card drawn is odd and divisible by 4.


(b) The card drawn is odd or divisible by 4.

In a game where only one player can win, the probability that Jack will win is 1/3 and the probability that Bill will win is 1/7. Find the probability that one of them will win. (Enter your probability as a fraction.)

The table gives the percent of employees of the Ace Company in each of three salary brackets, categorized by the sex of the employees. An employee is selected at random.

Earns
Less than
$60,000
Earns at Least
$60,000 and Less
than $100,000
Earns
at Least
$100,000
Male 25% 19% 4%
Female 36% 15% 1%


(a) What is the probability that the person selected is female and makes less than $60,000?

(b) What is the probability that the person selected makes at least $100,000?


(c) What is the probability that the person is male or makes less than $60,000?

If a green die and a red die are rolled, find the following. (Assume both dice are six-sided. Enter your probabilities as fractions.)

(a)

Find

Pr(2 ≤ S ≤ 8),

where S is the sum rolled on the two dice.

(b)

Find

Pr(4 ≤ S),

where S is the sum rolled on the two dice.

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