Answer:
D) [tex]\frac{1}{3}[/tex] .
Step-by-step explanation:
Given : getting heads when flipping a coin and getting a number greater than or equal to 3 when rolling a single die.
To find : What is the probability of head and number greater than or equal to 3.
Solution : We have given that Flipping a coin :
Probability of getting head = [tex]\frac{1}{2}[/tex].
Total number of die = 1,2,3,4,5,6
Getting number 3 or greater than 3 = 3 ,4,5,6
Probability of getting 3 or greater than 3 = [tex]\frac{4}{6}[/tex].
= [tex]\frac{2}{3}[/tex].
Probability ( A and B) = P(A) * P(B).
Probability ( head and number greater than or equal to 3) = [tex]\frac{1}{2}[/tex] * [tex]\frac{2}{3}[/tex].
Probability ( head and number greater than or equal to 3) = [tex]\frac{2}{6}[/tex] .
Probability ( head and number greater than or equal to 3) = [tex]\frac{1}{3}[/tex] .
Therefore, D) [tex]\frac{1}{3}[/tex] .
