Asix-sided number cube is tossed and a coin is flipped.
the sample space is {1h, 2h, 3h, 4h, 5h, 6h, 1t, 2t, 3t, 4t, 5t, 6t}.
what is the probability of rolling a number greater than 2 and flipping heads?
enter your answer, as a fraction in simplest form, in the box

The answer is 1/3, on the third attempt on the quiz, that's what it said.

 The required probability is

Step-by-step explanation:  Given that a six-sided number cube is tossed and a coin is flipped.

We are to find the probability of rolling a number greater than 2 and flipping heads.

The sample space for the event is

S =  {1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T}.

That is, n(S) = 12.

Let, 'A' denotes the event of rolling a number greater than 2 and flipping heads.

So, A = {3H, 4H, 5H, 6H}

That is, n(A) = 4.

Therefore, the probability of rolling a number greater than 2 and flipping heads is given by

The required probability is

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11