Question

Which of the following is an overlapping event with a probability of 50% ?

Answer 1

Spinning the letter S or the letter E.

Spinning red or the letter A.

Spinning the letter I or blue.

Spinning a consonant or red.

Answer 2

Spinning S or E: each has 1/6 chance, so 1/6 + 1/6 = 1/3 = 33.33%

Spinning red or A: there are 3 reds out of 6 spots, and A is red, so A "overlaps" with one of the three red choices... 3/6 = 50%

Spinning letter I or blue: chance of letter I = 1/6, chance of blue = 3/6, so chance of I or blue = 1/6 + 3/6 = 4/6 = 66.67%

Spinning consonant or red: 3 consonants out of 6 spots (and they are all blue, so no overlap with the reds)... 3/6 for a consonant. There are 3 reds out of 6, so 3/6. Chance of consonant OR red is 3/6 + 3/6 = 100% (because the choices cover the entire spinner)

Answer 3

Thank you so much @Jakev8 :)