Questions

Use the following scenario to solve the first four problems: A card is drawn from a standard 52-card deck. Tell whether events A and B are inclusive or mutually exclusive, and then find the probability.

1) Tell whether events A and B are inclusive or mutually exclusive, and then find the probability.

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Tell whether events A and B are inclusive or mutually exclusive, and then find the probability.

Note: Do not include Aces as face cards.

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3) Tell whether events A and B are inclusive or mutually exclusive, and then find the probability.

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4) Tell whether events A and B are inclusive or mutually exclusive, and then find the probability.

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For the next four problems, state whether the events are inclusive or mutually exclusive, and then find the probability.

5) Three cards are selected from a standard deck of 52 cards. What is the probability of selecting a king, a queen, or a red card?

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6) A bag contains 45 dyed eggs: 15 yellow, 12 green, and 18 red. What is the probability of selecting a green or a red egg?

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7) The letters from the words LOVE and LIVE are placed on cards and put in a box. What is the probability of selecting an L or O from the box?

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8) The letters of the alphabet are placed in a bag. What is the probability of selecting a vowel or the letters QUIZ?

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Refer to the following scenario to solve the next five problems: A box contains six (6) red balls, nine (9) white balls, and five (5) blue balls. A ball is selected and then replaced. Then, a second ball is selected. Find the probability of each event.

9) Both balls are white.

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10) The first ball is red and the second ball is white.

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11) Both balls are blue.

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12) The first ball is yellow and the second ball is blue.

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13) Neither ball is blue.

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Refer to the following scenario to solve the next five problems: A bag contains five (5) purple beads, three (3) green beads, and two (2) orange beads. Two consecutive draws are made from the box without replacing the first draw. Find the probability of each event.

14) purple, then orange

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15) purple, then blue

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16) orange, then purple

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17) green, then purple

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18) orange, then orange

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Refer to the following scenario to solve the next four problems: A spinner that is divided into six (6) congruent regions, numbered “one” through “six”, is spun once. Let “A” be the event “odd” and “B” be the event “5”. Find each of the given probabilities.

19) P(A)

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20) P(B)

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21) P(A and B)

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22) P(A or B)

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