2
2
Two dice are rolled together. The probability of getting an outcome (a, b) such that b = 2a, is
Two dice are rolled together. The probability of getting an outcome (a, b)
such that b = 2a, is
a) 1/6
b) 1/12
c) 1/36
d) 1/9
This Question has 1 answers.
When two dice are rolled, the total number of possible outcomes is:
$6 \times 6 = 36$
We need to find the probability of getting an outcome $(a, b)$ such that $b = 2a$.
The possible values for $a$ and $b$ (both between 1 and 6) are:
- If $a = 1$, then $b = 2(1) = 2$ → Valid pair: $(1,2)$
- If $a = 2$, then $b = 2(2) = 4$ → Valid pair: $(2,4)$
- If $a = 3$, then $b = 2(3) = 6$ → Valid pair: $(3,6)$
- If $a = 4$, then $b = 2(4) = 8$ (not possible, since maximum value of $b$ is 6)
Thus, the valid pairs are:
$(1,2), (2,4), (3,6)$
Total favorable outcomes = 3
$\text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} $
$6 \times 6 = 36$
We need to find the probability of getting an outcome $(a, b)$ such that $b = 2a$.
The possible values for $a$ and $b$ (both between 1 and 6) are:
- If $a = 1$, then $b = 2(1) = 2$ → Valid pair: $(1,2)$
- If $a = 2$, then $b = 2(2) = 4$ → Valid pair: $(2,4)$
- If $a = 3$, then $b = 2(3) = 6$ → Valid pair: $(3,6)$
- If $a = 4$, then $b = 2(4) = 8$ (not possible, since maximum value of $b$ is 6)
Thus, the valid pairs are:
$(1,2), (2,4), (3,6)$
Total favorable outcomes = 3
$\text{Probability} = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} $
$= \frac{3}{36} = \frac{1}{12}$
Similar Questions
- Nidhi received simple interest off Rs. 1200 when invested Rs x at 6% p.a. and Rs y at 5% p.a. for 1 year. Had she invested Rs. x at 3% p.a. and Rs. y at 8% for that year, she would have received simple interest of Rs 1,260. Find the values Rs. x an y.
- A person ordered 4 shirts of brand A and some shirts of brand B. The price of one shirt of brand A was twice that of brand B. When the order was executed, it was found that the numbers of the two brands has been interchanged . This increased the bill by 4
- The letters A, B, C, D, E, F and G not necessarily in that order, stand for seven consecutive integers from 1 to 10, D is 3 less than A, B is the middle term. F is as much less than B as C is greater than D, G is greater than F.
- Direction: Read the following information carefully and answer the questions that follow: P, V, X, A, D, I, K and U set out for trip for different number of days such as 2, 8, 11, 5, 6, 4, 7 and 3, they go to the trip in the same order but the order of n
- A liquid 'P' is $1\frac{3}{7}$ times as heavy as water and water is $1\frac{2}{5}$ times as heavy as another liquid 'Q' The amount of liquid ‘P' that must be added to 7 litres of the liquid ‘Q' so that the mixture may weigh as much as an equal volume of w