a set of 20 cards is numbered 1,2,3,... ..20. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form.
P(3 or 13)
The probability of drawing either 3 or 13 with one draw is 1/10.
To find the probability of picking either a 3 or a 13 from a set of 20 cards numbered 1 to 20, we first need to determine how many cards have either the number 3 or 13.
The event "3 or 13" means that we are interested in the cards numbered 3 and 13. So, there are 2 cards that satisfy this condition.
The total number of cards in the set is 20.
To find the probability, we divide the number of favorable outcomes (cards numbered 3 or 13) by the total number of possible outcomes (total number of cards in the set).
Therefore, the probability of picking either a 3 or a 13 is:
P(3 or 13) = Number of favorable outcomes / Total number of possible outcomes
= 2 / 20
= 1 / 10
So, the probability of picking either a 3 or a 13 is 1/10, which is the simplest form of the fraction.