Modern math

The probability of drawing a white ball is the number of white balls divided by the total number of balls in the box, which is 5 out of 8. Option A is incorrect because 3/8 represents the probability of drawing a black ball instead of a white one. Option D is mathematically impossible since probability cannot exceed 1.

Treating one of the repeated letter pairs as distinct leaves two pairs of identical letters, resulting in 6! * 2!) = 180 unique arrangements. Option D is incorrect because 720 represents the permutations of six completely distinct letters, which fails to account for any identical letter repetitions.

Treating one of the repeated letter pairs as distinct leaves two pairs of identical letters, resulting in 6! A diagram for this topic isn't available yet — the worked example below walks the same reasoning step by step.

• !Option D is incorrect because 720 represents the permutations of six completely distinct letters, which fails to account for any identical letter repetitions.
• !Option A is incorrect because 3/8 represents the probability of drawing a black ball instead of a white one.
• !Option B (24) is incorrect because it represents the number of permutations when repetition is not allowed (4 * 3 * 2).

Answer each from memory — you'll see instantly whether you're right and why.

Run a focused 10-question mini-mock on Modern math and see it stick.