Vocabulary FCP/ Comb/Perm Simple Probability Compound Probability 1

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Presentation transcript:

Vocabulary FCP/ Comb/Perm Simple Probability Compound Probability 1 Jeopardy Review FCP/ Comb/Perm Simple Probability Compound Probability 1 Compound Probability 2 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt Chapter 7 - A View of the Cell

A number between 0 and 1 that indicates the likelihood an event will occur.

What is probability?

objects taken r at a time. The ordering of n objects taken r at a time.

What is a permutation?

The union of 2 or more simple events.

What is compound probability?

Two events that occur separately and the outcome of one does not affect the outcome of the other.

What are dependent events?

Events that cannot occur at the same time.

What mutually exclusive events?

The number of pizza choices from a pizza parlor that offers a large pizza with one cheese, one vegetable, and one meat topping from a choice of 5 cheeses, 6 vegetables, 8 meats, and 2 crust styles.

What is 480? 5·6·8·2 = 480

The number of distinguishable permutations of the word balloon.

What is 1260? 7!/(2!2!) = 1260

The number of different license plates that are possible if digits and letters cannot be repeated and there are 4 letters followed by 3 digits and the first letter is a P.

What is 9,936,000? 1·25·24·23·10·9·8 = 9,936,000

The number of ways 3 of 25 runners running in a marathon can finish first, second, and third.

What is 13,800? 25P3 = 13,800

The number of possible 5-card hands from a standard deck of 52 cards that contain all 5 cards of the same suit.

What 5,148? 4C1·13C5 = 5,148

The probability of rolling a number less than 5 on a standard 6-sided die.

What is 2/3? 4/6 = 2/3

The probability of selecting a blue or green marble from a jar that contains 4 red marbles, 5 blue marbles, 4 yellow marbles, and 1 green marble.

What is 3/7? 6/14 = 3/7

The probability of drawing a ten or face card when drawing a card randomly from a standard deck of 52 cards.

What is 4/13 or about 31%? 16/52 = 4/13 ≈ 31%

The probability that you will get the answer right if you guess on a multiple-choice question if you know the answer is not A, C, or E but you are not sure about answers B or D.

What is ½ or 50%?

The probability of winning the lottery if order is not important when selecting 6 out of 50 numbers.

What is 1/15,890,700 or 6.3 x 10-8? 1/50C6 = 1/15,890,700 = 6.3 x 10-8

The probability of selecting a queen and a heart when selecting one card from a standard deck of 52 cards.

What is 1/52 or about 2%?

The probability of selecting a king or spade when selecting one card from a standard deck of 52 cards.

What is 4/13 or about 31%? 4/52 + 13/52 – 1/52 = 16/52 = 4/13 ≈ 31%

The probability that if one student from a total of 100 (of which 52 received basketball awards, 36 received baseball awards, and 10 received awards for both basketball and baseball) was chosen as star athlete, that student would have won an award for basketball or baseball.

What is 39/50 or 78%? (52 + 36 – 10)/100 = 78/100 = 39/50 = 78%

The probability of rolling 2 six-sided dice and rolling a sum that is not 6.

What 31/36 or about 86%? 1 – 5/6 · 1/6 = 31/36 ≈ 86%

The probability of selecting 2 cards without replacement from a standard deck of 52 cards and both cards are jacks or both are red cards.

What is 55/221 or about 25%? 4/52 · 3/51 + 26/52 · 25/51 – 2/52 · 1/51 = 660/2652 = 55/221 ≈ 25%

The probability of selecting 2 cards from a standard deck of 52 cards without replacement and both cards are face cards.

What is 11/221 or about 5%? 12/52 · 11/51 = 11/221 ≈ 5%

The probability of selecting a five and then a 6 when selecting 2 cards from a standard deck of 52 cards.

What is 4/663? 4/52 · 4/51 = 16/2652 = 4/663

The probability of selecting a queen and an ace when selecting 2 cards from a standard deck of 52 cards.

What is 8/663 or about 1%? 4/52 · 4/51 · 2! = 32/2652 = 8/663 ≈ 1%

The probability that a baseball team won all three games of a tournament (given that during the season the team won 7/9 home games and 5/9 away games) when it played the first game at home and the last two away.

What is 175/729 or about 24%? 7/9 · 5/9 · 5/9 = 175/729 ≈ 24%

The probability of choosing at most 1 nickel when choosing 3 coins without replacement from a bag containing 4 pennies, 3 nickels, and 5 dimes.

What is 48/55 or about 87%? 9/12 · 8/11 · 7/10 + 3/12 · 9/11· 8/10 · (3!/2!) = 192/220 = 48/55 ≈ 87%