Question

What is the probability of getting heads when flipping a coin and getting a number greater than or equal to 3 when rolling a single die?
A 1/6
B 1/4
C 1/12
D 1/3

Answer 1

Probability of getting a Head = 1/2

The number could be 3, 4, 5, or 6

Total = 4 out of the total of 6

Probability = 4 / 6 =2/3

Head and greater or equal to 3 =    1/2  *   2/3 =   1/3

D.

Answer 2

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)  $\frac{1}{3}$ .