Probability Calculations Quiz

After completing the lesson, you should be able to calculate probabilities involving which type of random variable?

• Continuous only

• Discrete only

• Both discrete and continuous

• Neither discrete nor continuous

How should you be able to classify a random variable after this lesson?

• As only negative or positive

• As only prime or composite

• As discrete or continuous

• As rational or irrational

How many equally likely outcomes are there when a fair coin is tossed three times?

• 3

• 6

• 8

• 9

What is the probability of each possible outcome when a fair coin is tossed three times?

• 1/3

• 1/6

• 1/8

• 1/9

What is the probability of obtaining exactly one head and two tails when tossing a fair coin three times, in any order?

• 1/3

• 3/8

• 1/8

• 1/2

How is the random variable X defined in the context of the image?

• The total number of coin tosses

• The number of tails obtained in 3 tosses

• The number of heads obtained in 3 tosses

• The sum of the numbers on a dice thrown 3 times

What are the possible values that the random variable X can take?

• 0, 1, 2, 3, 4

• 1, 2, 3, 4, 5

• 0, 1, 2, 3

• Any integer value

What does the image primarily illustrate about the random variable X?

• The probability distribution of X

• The different outcomes of rolling a dice

• The sequence of heads and tails in coin tosses

• The grouping of possible outcomes by the number of heads to show the likelihood of X taking certain values

What is the probability of getting no heads (X = 0) when summarizing the probability distribution of X?

• 1/8

• 3/8

• 1/2

• 1/4

What is the probability of getting exactly one head (X = 1)?

• 1/8

• 3/8

• 1/2

• 1/4