A. rolling a sum of 9 on two fair six sided dice
That's either 3&6, 4&5, 5&4, or 6&3. 4 ways out of 36 or
a probability of 4/36 or 1/9.
B. drawing the Queen of Diamonds out of a standard 52 card deck given it’s a face card.
That's 1 way out of 12 face cards, which has a probability of 1/12
C. rolling a sum of 11 on two fair six sided dice
That's either a 5&6 or 6&5. 2 ways out of 36 or a probability
of 2/36 or 1/18.
D. drawing a king out of a standard 52 card deck given it’s a face card.
That's 4 ways out of 12 face cards, which has a probability of 4/12
or 1/3.
E. rolling a sum of 10 on two fair six sided dice
That's either 4&6, 5&5, or 6&4. 3 ways out of 36 or
a probability of 3/36 or 1/12.
So the only two that have the same probability are B and E, which are
both 1/12.
Edwin