The total number of balls that are not blue is 3 (red). The probability of drawing a red ball given that it is not blue is 3/5.

The total number of balls is 3 + 2 = 5. The probability of drawing a red ball is 3/5.

The probability of not drawing a blue ball = Number of red balls / Total balls = 4/10 = 2/5.

The probability of drawing a blue ball is 6/10 = 3/5.

The total number of balls is 10. The number of non-white balls is 10 - 4 = 6. Thus, the probability of drawing a non-white ball is 6/10 = 3/5.

Total balls = 10. Non-black balls = 4 (white). Probability = 4/10 = 2/5.

If the ball is not red, it must be green. Therefore, P(Green | Not Red) = 1.

After drawing a green ball, there are 4 red, 2 green, and 2 blue balls left. The probability of drawing a red ball next is 4/8 = 1/2.

After drawing a green marble, there are 4 red, 2 green, and 2 blue marbles left. The probability of drawing a red marble next is 4/(4+2+2) = 4/8 = 0.5.

After drawing a blue ball, there are 4 red, 3 green, and 4 blue left. The probability of drawing a red ball next is 4/11.

After drawing one black ball, there are 5 black and 4 white balls left. The probability of drawing another black ball is 5/9.

The total number of balls is 10. The number of favorable outcomes (black balls) is 6. The probability that the ball is black given that it is not white is P(Black | Not White) = 6/6 = 1.

If the ball is not black, it must be white. Therefore, P(White | Not Black) = 1.

Total balls = 5 + 3 = 8. Probability of red = 5/8.

After drawing one red marble, there are 4 red and 3 green marbles left. The probability of drawing a green marble is 3/7.

The total number of balls that are not red is 5 (3 blue + 2 green). The probability that the ball is blue given it is not red is P(Blue | Not Red) = 3/5.

Total balls = 10. Probability of green = 3/10.

The probability of drawing a red marble is independent of the order. Therefore, P(First | Red) = 1/5.

The total number of non-red marbles is 5 (3 green + 2 blue). Therefore, P(Green | Not Red) = 3/5.

The total number of non-red marbles is 5 (3 green + 2 blue). The probability that the marble is green given that it is not red is P(Green | Not Red) = 3/5.

The total number of marbles that are not blue is 8 (5 red + 3 green). The probability of drawing a green marble is 3/8.

After drawing a black ball, there are 5 white and 2 black balls left. The probability of drawing a white ball next is 5/7.

After drawing a black ball, there are 5 white and 2 black balls left. The probability of drawing a white ball next is 5/7.

The probability of not drawing a black ball is the probability of drawing a white ball, which is 5/8.

The probability of drawing 2 white balls = (5/8) * (4/7) = 20/56 = 5/14.

Using tan(θ) = height/distance, we have tan(θ) = 30/40 = 0.75. Therefore, θ = tan⁻¹(0.75) ≈ 36.87 degrees.

Using tan(60°) = height/distance, we have distance = height/tan(60°) = 40/√3 = 20√3 m.

Using tan(θ) = height/distance, we have tan(θ) = 40/30. Therefore, θ = tan⁻¹(4/3) ≈ 53.13 degrees.

Using tan(θ) = height/distance, we have θ = tan^(-1)(50/40) = tan^(-1)(1.25) which is approximately 60 degrees.

There are 26 red cards (hearts and diamonds). The probability of drawing a heart given that it is red is 13/26 = 1/2.