If event A=(drawing a king) and event B=(drawing a red card).what is the probability of drawing A or B
there are 26 red cards, and two black kings
28 possibilities in a 52 card deck
But the colour of the king not specified and don't forget there are 4 kings in a playing cards.2 red kings and 2 black kings
P(A or B) = P(A)+P(B)-P(A and B)
= 1/13 + 1/4 - 1/13 * 1/4
= 4/13
To find the probability of drawing event A or event B, we need to consider two scenarios:
1. Event A occurs and event B does not occur.
2. Event B occurs and event A does not occur.
First, let's determine the probabilities of each event individually.
1. Event A: Drawing a king
A standard deck of playing cards contains 52 cards, out of which there are 4 kings. Therefore, the probability of drawing a king is 4/52, which simplifies to 1/13.
2. Event B: Drawing a red card
There are two red suits in a deck of cards (hearts and diamonds), with a total of 26 red cards (13 cards in each suit). So, the probability of drawing a red card is 26/52, which simplifies to 1/2.
Now, let's calculate the probability of event A or event B.
P(A or B) = P(A) + P(B) - P(A and B)
The probability of event A and event B both occurring is the probability of drawing a red king. The deck contains two red kings (hearts and diamonds). Hence, the probability of drawing a red king is 2/52, which simplifies to 1/26.
P(A or B) = P(A) + P(B) - P(A and B)
= 1/13 + 1/2 - 1/26
= 2/26 + 13/26 - 1/26
= (2 + 13 - 1)/26
= 14/26
The probability of drawing event A or event B is 14/26, which simplifies to 7/13 or approximately 0.54.
Therefore, the probability of drawing event A or event B is approximately 0.54 or 54%.