Suppose that two fair dice are rolled. Find the probability that the number on the first die is a 6 or the number on the second die is a 4.

Step-by-step explanation:

Given

Two fair dice

Required

Determine the probability that the outcomes is 6 on the first and 4 on the second

First, we need to write out the sample space of both:

Where S1 represents the first and S2, the second

The probability of outcome of 6 on the first is:

The probability of outcome of 4 on the second is:

So, the required probability is then calculated as:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this