Playing cards probability question

I need some help with this multiple choice question about probability and playing cards, I have attached it as an image, can you also explain how you work it out, thanks.

I need some help with this multiple choice question about probability and playing cards, I have attached it as an image, can you also explain how you work it out, thanks.

I'm not sure if this question is a trick, but I don't think it's any of them. All of the fives are removed and two aces, leaving 46 cards. The probablity to get a red 5, 6 or 7 will be 4/46 as the red fives are removed, but the answer is never usually none of the above, so I'm most likely wrong.

I need some help with this multiple choice question about probability and playing cards, I have attached it as an image, can you also explain how you work it out, thanks.

The answer is d.

"Given that it is a red card". Well a full pack has 52/2 = 26 red cards. But we've removed four of them - the two aces and two of the 5's are red. So there are 22 red cards.

Of the 22 red cards, there are 2 red 6's and 2 red 7's, but no 5's as there aren't any 5 in the reduced deck.

So, 4 chances in 22, = 2/11.