A box contains 9 tickets numbered 1 to 9 both | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Total tickets = $9$. Odd numbers are ${1, 3, 5, 7, 9}$ ($5$ tickets) and even numbers are ${2, 4, 6, 8}$ ($4$ tickets).Case $1$: The sequence is {

Vedclass · Accepted Answer

$\frac{5}{18}$

Vedclass · Answer

(D) Total tickets = $9$. Odd numbers are ${1, 3, 5, 7, 9}$ ($5$ tickets) and even numbers are ${2, 4, 6, 8}$ ($4$ tickets).Case $1$: The sequence is {odd,even,odd}.The probability is $P(O_1 \cap E_2 \cap O_3) = \frac{5}{9} 	imes \frac{4}{8} 	imes \frac{4}{7} = \frac{80}{504} = \frac{10}{63}$.Case $2$: The sequence is {even,odd,even}.The probability is $P(E_1 \cap O_2 \cap E_3) = \frac{4}{9} 	imes \frac{5}{8} 	imes \frac{3}{7} = \frac{60}{504} = \frac{7.5}{63} = \frac{5}{42}$.Total probability = $\frac{10}{63} + \frac{5}{42} = \frac{20 + 15}{126} = \frac{35}{126} = \frac{5}{18}$.

$A$ box contains $9$ tickets numbered $1$ to $9$ both inclusive. If $3$ tickets are drawn from the box one at a time without replacement,then the probability that they are alternatively either {odd,even,odd} or {even,odd,even} is

Similar Questions

An urn contains $8$ red and $5$ white balls. Three balls are drawn at random. Then, the probability that balls of both colours are drawn is

$A$ bag contains $6$ blue and $6$ green balls. Pairs of balls are drawn without replacement until the bag is empty. The probability that each drawn pair consists of one blue and one green ball is:

Two numbers are selected at random from the first $40$ natural numbers. What is the probability that their sum is odd?

$A$ bag contains $4$ white,$5$ red and $6$ green balls. Three balls are picked up randomly. The probability that a white,a red and a green ball is drawn is

If the coefficients $a$ and $b$ of a quadratic expression $x^2+ax+b$ are chosen from the sets $A=\{3, 4, 5\}$ and $B=\{1, 2, 3, 4\}$ respectively, then the probability that the equation $x^2+ax+b=0$ has real roots is

Vedclass Test Series

Exam Paper Generator

Online Exam Module