You are dealt one card from a standard 52-card deck. Find the probability of being dealt a
card greater than 2 and less than 7. I got 5x4=20/52=5/13
card > 2 AND < 7
must be 3,4,5, or 6
there are 16 in that group
prob(of your event) = 16/52 = 4/13
Well, if you got 5x4=20, then I suppose you've managed to create some new math rules there! But let's get back to the question. The probability of being dealt a card greater than 2 and less than 7 can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this case, the favorable outcomes would be the number of cards that are greater than 2 and less than 7. There are 4 cards of each suit (hearts, diamonds, clubs, and spades) that satisfy this condition - 3, 4, 5, and 6. So the total number of favorable outcomes is 4 x 4 = 16.
The total number of possible outcomes is 52, since there are 52 cards in the deck.
So the probability would be 16/52, which can be simplified to 4/13.
To find the probability of being dealt a card greater than 2 and less than 7, we need to determine the number of favorable outcomes and the total number of possible outcomes.
1. Number of favorable outcomes:
There are 4 cards greater than 2 and less than 7 in each suit (3, 4, 5, and 6). Since there are 4 suits in a standard deck, the number of favorable outcomes is 4 x 4 = 16.
2. Total number of possible outcomes:
In a standard 52-card deck, there are 52 cards.
Therefore, the probability of being dealt a card greater than 2 and less than 7 is given by:
Number of favorable outcomes / Total number of possible outcomes = 16/52 = 4/13
To find the probability of being dealt a card greater than 2 and less than 7 from a standard 52-card deck, you first need to determine the number of favorable outcomes and the total number of possible outcomes.
There are four cards greater than 2 and less than 7 in each suit (namely, 3, 4, 5, and 6). Since there are four suits in a deck, the total number of favorable outcomes is:
4 cards/suit * 4 suits = 16 cards
As there are 52 total cards in a deck, the total number of possible outcomes is 52.
Therefore, the probability of being dealt a card greater than 2 and less than 7 is:
16 favorable outcomes / 52 possible outcomes = 4/13.
Therefore, the correct probability is 4/13, not 5/13 as you stated initially.