Finite Equally-Likely Probability Computation

The question requires calculating the probability of an event by counting favorable outcomes over total outcomes in a finite uniform sample space (e.g., drawing balls, rolling dice, selecting cards, choosing points).

turkey-yks 2019 Q30 View
Below are four cards with the numbers 6, 8, 10, and 12 written on them.
Seeing these cards, Yiğit makes the claim:
``If I randomly select two of the cards and add the numbers written on them, the probability that I find my age is $\frac{1}{3}$.''
Given that this claim is correct, what is Yiğit's age?
A) 14
B) 16
C) 18
D) 20
E) 22
turkey-yks 2019 Q20 View
Ege's bag contains four cards of the same size: an identity card, a student card, a meal card, and a bus card. Ege draws a card randomly from his bag to find the bus card. If he draws the wrong card, he keeps it in his hand and draws another card randomly from his bag, and continues this way until he finds the bus card. What is the probability that Ege finds the bus card on the third attempt?
A) $\frac { 1 } { 4 }$
B) $\frac { 1 } { 8 }$
C) $\frac { 3 } { 8 }$
D) $\frac { 1 } { 16 }$
E) $\frac { 3 } { 16 }$
turkey-yks 2021 Q30 View
To access an internet site, users must select all unit squares containing car parts from the photograph divided into 9 unit squares below and click the confirm button.
Eda, who wants to access this site, randomly selected four different unit squares from this photograph and clicked the confirm button.
Accordingly, what is the probability that Eda can access this site?
A) $\frac{1}{15}$ B) $\frac{1}{36}$ C) $\frac{1}{56}$ D) $\frac{1}{84}$ E) $\frac{1}{126}$
turkey-yks 2023 Q11 View
Before the doctor's examination, Sibel Hanım's age, height, and weight are written on a card.
Age : 53
Height : .......
Weight : .......

Regarding this information,
$p$: Sibel Hanım's weight is more than 60 kilograms.
$q$: Sibel Hanım's height is in the range of 164 cm to 170 cm.
$r$: Sibel Hanım's age is in the range of 55 to 65.
propositions are given.
$$\left( p \Rightarrow q^{\prime} \right) \wedge r^{\prime}$$
Given that this proposition is false, which of the following could be Sibel Hanım's height and weight?
A) $160 \mathrm{~cm} - 56$ kilograms B) $165 \mathrm{~cm} - 58$ kilograms C) $166 \mathrm{~cm} - 62$ kilograms D) $171 \mathrm{~cm} - 59$ kilograms E) $172 \mathrm{~cm} - 64$ kilograms
turkey-yks 2023 Q30 View
A stove consisting of 1 large, 2 medium, and 1 small compartment with 4 ignition buttons, each of which activates a different compartment, is shown in the figure below.
Since the directions next to the buttons have been erased, it is not known which button activates which compartment.
Accordingly, when all compartments are closed and two buttons are randomly pressed, what is the probability that one of the medium compartments and the small compartment will activate?
A) $\frac{1}{2}$ B) $\frac{1}{3}$ C) $\frac{2}{3}$ D) $\frac{1}{4}$ E) $\frac{1}{5}$
turkey-yks 2023 Q14 View
Veysel has four gift vouchers of 200, 400, 600 and 800 TL from a clothing store. Veysel randomly gives one of these four gift vouchers to each of his two daughters, Yasemin and Zehra, who want to shop at this clothing store. On different days, Yasemin likes a dress for 300 TL and Zehra likes a dress for 500 TL.
Accordingly, what is the probability that both girls can buy the dresses they like with only the gift vouchers they received from their father?
A) $\frac{1}{2}$ B) $\frac{1}{3}$ C) $\frac{1}{4}$ D) $\frac{1}{5}$ E) $\frac{1}{6}$
turkey-yks 2025 Q30 View
Six friends, including Doğa and Duru, came to visit Defne's house. Defne randomly gave gifts to two of these friends.
According to this, what is the probability that Defne gave a gift to at least one of Doğa and Duru?
A) $\frac{2}{3}$ B) $\frac{3}{5}$ C) $\frac{4}{5}$ D) $\frac{8}{15}$ E) $\frac{11}{15}$