Answer:
D) \(\frac{1}{3}\) .
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 = \(\frac{1}{2}\).
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 = \(\frac{4}{6}\).
= \(\frac{2}{3}\).
Probability ( A and B) = P(A) P(B).
Probability ( head and number greater than or equal to 3) = \(\frac{1}{2}\) \(\frac{2}{3}\).
Probability ( head and number greater than or equal to 3) = \(\frac{2}{6}\) .
Probability ( head and number greater than or equal to 3) = \(\frac{1}{3}\) .
Therefore, D) \(\frac{1}{3}\) .
