Probability of getting a head on the coin and a 4 on the die is 0.083.
What is probability?
Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Probability(Event) = Favorable Outcomes/Total Outcomes
According to the question
A coin is flipped and a die is rolled
Probability of getting a head on the coin and a 4 on the die:
Total Number of favorable outcomes(coin is flipped) = {H, T} = 2
Number of favorable outcomes (head) = 1
Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6} = 6
Number of favorable outcomes (4 on the die) = 1
P(head) = [tex]\frac{1}{2}[/tex]
P(4) = [tex]\frac{1}{6}[/tex]
P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]
= [tex]\frac{1}{12}[/tex]
= 0.083
Hence, Probability of getting a head on the coin and a 4 on the die is 0.083.
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