1. In a race through which 8 cars are entered and there are not any ties, in what number of tactics can the primary 3 finishers are available in?

2. An election poll asks electorate to choose 3 town commissioners from a bunch of six applicants. In what number of tactics can this be accomplished?

three. The Senate in a definite state is produced from 58 Republicans, 39 Democrats, and three Independents. What number of committees will also be shaped if every committee will have to have three Republicans and a pair of Democrats?

four. You’re dealt one card from a typical 52-card deck.  In finding the chance of being dealt a diamond.

eight. A bunch is composed of six males and 6 ladies. 5 individuals are decided on to wait a convention.

a. In what number of tactics can 5 other folks be decided on from this staff of twelve?

b. In what number of tactics can 5 ladies be decided on from the six ladies?

c. In finding the chance that the chosen staff will encompass all ladies.

nine. In case you are dealt 33 playing cards from a shuffled deck of 52 playing cards, to find the chance of having two queens and on king.

10. You’re dealt one card from a 52-card deck. In finding the chance that you’re not dealt a king.

11. You’re dealt one card from a 52-card deck.  In finding the chance that you’re dealt a king or a purple card.

12. The maths division of a faculty has 6 male professors, 12 feminine professors, 15 male instructing assistants, and six feminine instructing assistants. If an individual is chosen at random from the gang, to find the chance that the chosen particular person is a professor or a male.

14. A coin is tossed and a die is rolled.  In finding the chance of having a tail and a bunch more than 1.

17. An architect is thinking about bidding for the design of a brand new museum.  The price of drawing plans and filing a type is \$16,000.  The chance of being awarded the bid is zero.2, and expected earnings are \$80,000, leading to a imaginable acquire of this quantity minus the \$16,000 value for plans and a type.

a. What’s the anticipated worth on this state of affairs?

b. Make a choice the observation beneath that easiest describes what this worth manner.

A.

Ultimately, the architect would be expecting to damage even.

B.

Ultimately, the architect would be expecting to earn this quantity.

C.

Ultimately, the architect would be expecting to lose this quantity.

D.

Not one of the above.

18.

A development corporate is making plans to bid on a construction contract.  The bid prices the corporate \$1800.  The chance that the bid is approved is ONE FITH. If the bid is approved, the corporate will make \$51,500 minus the price of the bid.

a. What’s the anticipated worth on this state of affairs?

b. Make a choice the observation beneath that easiest describes what this worth manner.

A.

Ultimately, the development corporate would be expecting to damage even on moderate.

B.

Ultimately, the development corporate would be expecting to earn this quantity on moderate consistent with bid.

C.

Ultimately, the development corporate would be expecting to lose this quantity on moderate consistent with bid.

D.

Not one of the above.

19. A inventory can pass up, pass down, or keep unchanged.  What number of probabilities are there in the event you personal 10 shares?

20. At a get advantages live performance, twelve bands have volunteered to accomplish however there’s handiest sufficient time for 6 of the bands to play.  What number of lineups are imaginable?