A fair coin is tossed and a die is rolled. what is the probblloy of the coin being tails and the die landing on a 2

1 answer:

7 0

The probility of getting a tail is 1 (tail) to 2 total possibilities which will be 1/2. The probility for rolling a "2" is 1 to a total possibility of 6 so the probability of 1/6. Since these are independent events and you want both to happen, you need to multiply the two results which will be 1/2 * 1/6 which equals 1/12.

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Solve by the linear combination method (with or without multiplication).

Dima020 [189]

The first step is to name the equations to make the process of solving them easy.

$6x+7y=-4....(1)\\5x-3y=-21....(2)$

The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).

$-30x-35y=20...(3)\\30x-18y=-126...(4).$

The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;

$-53y=-106....(5)\\=> y= 2.$

The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;

$6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3$