Graysen has a green number cube and a white number cube. The faces of the cubes are numbered 1 through 6. Graysen will roll each cube one time. what is the probability that the green cube will land with an even number faceup and the white cube will land with a number greater than 2 faceup
pr=prgreen even*prb>2=
= prgreen even*(1-pr(1 or 2))
= 3/6* (1-1/6-1/6)=3/6(4/6)=1/3 check that.
Thanks! this helped a lot! :)
To find the probability that the green cube lands with an even number faceup and the white cube lands with a number greater than 2 faceup, we need to first determine the number of favorable outcomes and the total number of possible outcomes.
The green cube has 6 possible outcomes since each face is numbered 1 through 6. Out of these, 3 faces are even numbers (2, 4, and 6).
The white cube also has 6 possible outcomes, as each face is numbered 1 through 6. However, we only count the outcomes where the face is greater than 2. So, there are 4 faces on the white cube that satisfy this condition (3, 4, 5, and 6).
Now, to find the total number of possible outcomes, we multiply the number of outcomes for each cube.
Total number of possible outcomes = 6 x 6 = 36
Next, we determine the number of favorable outcomes where the green cube lands with an even number faceup and the white cube lands with a number greater than 2 faceup. The favorable outcomes would be the common outcomes from each cube, which are the even numbers (2, 4, and 6) and the numbers greater than 2 (3, 4, 5, and 6). The common outcomes are 4 in total.
Finally, we calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Therefore, the probability that the green cube will land with an even number faceup and the white cube will land with a number greater than 2 faceup is 1/9 or approximately 0.111.