A deck has 52 cards it has 13 in each type find the probability of getting
a) a diamond card
b) an ace card
c) a red card
d) a yellow card
e) getting any card
Assuming you are just picking one card from the full deck each time
It will always be out of 52
all you have to know is how many cards there are in your subject.
e.g. b) there are 4 aces, so
prob(ace card) = 4/52 = 1/13
d) yellow is not a basic property of a deck of cards
so I would say : 0/52 = 0
the others are very easy.
Jerome draws two cards from a deck of five cards numbered 1 to 5. What is the probability that he draws a 5 first and next a 3?
To find the probability of an event, we need to know the number of favorable outcomes (the event we are interested in) and the total number of possible outcomes.
In this case, we have a standard deck of 52 cards, with 13 cards in each of the four suits: hearts, diamonds, clubs, and spades.
a) Probability of getting a diamond card:
There are 13 diamond cards in the deck. So, the number of favorable outcomes is 13, and the total number of possible outcomes is 52. Therefore, the probability of drawing a diamond card is 13/52, which reduces to 1/4 or 0.25.
b) Probability of getting an ace card:
There are four aces in the deck, with one ace in each suit. So, the number of favorable outcomes is 4, and the total number of possible outcomes is still 52. Hence, the probability of drawing an ace card is 4/52, which simplifies to 1/13 or approximately 0.077.
c) Probability of getting a red card:
There are 26 red cards in the deck, consisting of 13 hearts and 13 diamonds. Thus, the number of favorable outcomes is 26, and the total number of possible outcomes is still 52. Consequently, the probability of drawing a red card is 26/52, which reduces to 1/2 or 0.5.
d) Probability of getting a yellow card:
In a standard deck of cards, there is no yellow suit. Hence, the number of favorable outcomes is 0. As a result, the probability of drawing a yellow card is 0.
e) Probability of getting any card:
To find the probability of drawing any card, we need to consider the total number of possible outcomes, which is 52 (since there are 52 cards in a deck). The number of favorable outcomes would also be 52 since any card drawn from the deck will be a favorable outcome. Hence, the probability of drawing any card would be 52/52, which is equal to 1 or 100%.
Note: The probability of an event always ranges from 0 to 1, where 0 indicates an impossible event, and 1 represents a certain event.