Question

If you select one card at random from a standard deck of 52 cards, what is the probability that the card is a four AND a heart?

Answer 1

Answer;

`\text{ Pr(a four and a heart) = }(1)/(52)`

Explanations:

Probability is the likelihood or chance that an event will occur. The formula for calculating probability is expressed as;

`\text{Probability = }(n(E))/(n(S))`

n(E) is the total number of event

n(S) is the total number of sample space

Since there are 52 cards in a deck of cards, hence the total number of sample space will be 52

n(S) = 52

In a deck of cards. there are four 4's, 1 per suite and there is only ONE 4 which is a heart.

If a four AND a heart was selected, then the total number of events n(E) is 1

The probability that the card is a four AND a heart will be:

`\text{ Pr(a four and a heart) = }(1)/(52)`