Question

You pull a Queen (any of 4 suits) out of 52-card deck. I pull a pair of grey socks from the 12 -pair pack. There are 3 pairs of grey socks. What event has a smaller chance to happen?

Answer 1

Answer: The probability of pulling a Queen has a smaller chance of happening.

Step-by-step explanation: In a 52-card deck, you have 4 Queens altogether belonging to each of the four suits. If you pull a card at random out of a complete pack, the probability of picking a Queen would be as follows;

P(Q) = Number of required outcomes/Number of all possible outcomes

P(Q) = 4/52

P(Q) = 1/13

P(Q) = 0.07692 or 7.69%

Also in a 12-pair pack of socks, you have 3 pairs with the color grey. The probability of picking a pair of grey socks at random is given as follows;

P(G) = Number of required outcomes/Number of all possible outcomes

P(G) = 3/12

P(G) = 1/4

P(G) = 0.25 or 25%

Therefore the probability of pulling a Queen has a 7.69% chance of happening and thats a lower chance.