Dependent and Independent Events

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3
• 1/2
• 1/6
• 1/4

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What is the probability of tossing a coin four times and getting tails each time?

• 1/16
• 1/8
• 1/2
• 1/4

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A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

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Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• 1/4
• 2/3
• 3/10
• 3/5

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In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, not replacing it, and then picking a blue pen?

• 1/2
• 4/11
• 1/10
• 2/3

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You flip a coin twice. The first flip lands

heads-up and the second flip lands

tails-up.

• 8 / 33 = 0.242

• 1 / 4 = 0.25

• 49 / 121 = 0.405

• 5 / 18 = 0.278

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A basket contains four apples and six

peaches. You randomly select one piece

of fruit and eat it. Then you randomly

select another piece of fruit. Both pieces

of fruit are apples.

• 1 / 17 = 0.059

• 2 / 15 = 0.133

• 1 / 4 = 0.25

• 25 / 169 = 0.148

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You flip a coin and then roll a fair

six-sided die. The coin lands heads-up

and the die shows a one.

• 6 / 55 = 0.109

• 6 / 91 = 0.066

• 2 / 9 = 0.222

• 1 / 12 = 0.083

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A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?

• 1/9
• 1/27
• 1/6
• 2/9

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Find the probability of selecting a black checker from a bag of 6 black and 4 red checkers, replacing it and selecting another black. 

• 9/25
• 1/4
• 2/23
• 3/41

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