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Probability of Outcomes problems

Coin Flip Outcome Probability example question

In an experiment, a coin is tossed until either the same side comes up twice in a row, or the coin has been tossed four times. How many outcomes are there?

a)  6

b)  8

c)  10

d)  16

e)  this experiment never stops

f)  none of the above

 

Solution to this Outcomes Probability practice problem is given in the video below!



Coin Flip: Unfair Toss Probability example problem

An unfair coin with P(H) = 0.9 is tossed independently 5 times. What is the probability that the first, third, and fifth tosses are Heads, and all the others are Tails?

a)  0.0243

b)  0.00243

c)  0.243

d)  0.0729

e)  0.00729

f)  none of the above

 

Solution to this Outcomes Probability practice problem is given in the video below!



Unfair Die Toss Probability example

An unfair die is such that the outcomes 1, 2, 3, 5 are equally likely, 4 is half as likely as 2, and 6 is four times as likely as 5. What is the probability of having a 4?

a)

b)

c) 

d) 

e) 

f)  none of the above

 

Solution to this Outcomes Probability practice problem is given in the video below!



Coin & Die Toss Outcome Probability example question

In an experiment, a coin is tossed, and if the outcome is Heads, then a die is rolled. If the outcome is Tails, the experiment stops. How many outcomes are possible in this experiment?

a)  6

b)  7

c)  12

d)  14

e)  15

f)  none of the above

 

Solution to this Outcomes Probability practice problem is given in the video below!



Choices of Pencil Colors Probability example problem

You have 4 white pencils and 6 grey pencils. You select two pencils at random. What is the probability that the two pencils are of the same color?

a) 

b) 

c) 

d) 

e) 

f)  none of the above

 

Solution to this Outcomes Probability practice problem is given in the video below!






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