A fair die is rolled and a coin is flipped. What is the probability that an odd number is rolled and a head shows?

The probability that an odd number is rolled and a head shows is 1/4

Step-by-step explanation:

In a fair due, the possible results are 1,2,3,4,5,6

The odd numbers we have are 1,3 and 5

We can see we have 3 odd numbers

The probability of selecting odd number is the count of odd numbers divided by the total possible results which is 3/6 = 1/2

For a coin, there are equal probabilities of a head showing or a tail showing and we have that probability as 1/2

So the probability that we have an odd number and a head showing up will be;

1/2 * 1/2 = 1/4

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.