A coin is tossed and a six-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 1.

Step-by-step explanation:

Given

A toss of coin and a roll of 6-sides die

Required

P(Head and Number greater than 1)

First, we list the sample space of the coin:

From the sample space above:

Next, we list the sample space of the die:

There are 5 outcomes greater than 1; i.e. 2,3,4,5 and 6.

So:

Lastly, the required probability is calculated as:

Change and to *

Substitute values for P(Head) and P(Outcome > 1)

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )