Probability of Compound Events

Guest:

A card is randomly drawn from a standard 52-card deck. Find the probability of thegicen event. A queen and a heart.

'thegice' What is this meant to be?

There are 13 hearts in the deck and 4 queens but one of those queens is a heart, so the number of favourable events is 13+4-1=16

The probability of choosing a queen or a heart on the first draw is 16/52 ==> 4/13

Was that your questions?

Melody:

Guest:

A card is randomly drawn from a standard 52-card deck. Find the probability of thegicen event. A queen and a heart.

'thegice' What is this meant to be?

There are 13 hearts in the deck and 4 queens but one of those queens is a heart, so the number of favourable events is 13+4-1=16

The probability of choosing a queen or a heart on the first draw is 16/52 ==> 4/13

Was that your questions?

I think "thegice" is probably meant to be "the given". if a single card is drawn and it has to be a queen and a heart, then, since there is only one queen of hearts, the probability is 1/52. Or, you can think of this as probability of a queen (4/52) multiplied by probability of a heart (13/52, which simplifies to 1/4) again giving an overall probability of 1/52.

Guest:

A card is randomly drawn from a standard 52-card deck. Find the probability of thegicen event. A queen and a heart.

Yes of course. Thanks Alan.

I found the probability that it would be a queen OR a heart which was 4/13

The question actually says a queen and a heart. There is only one queen that is a heart so of course Alan is correct. The probabiliy to drawing the queen of hearts is 1/52