Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediuminteger

Functions are formed form $A = {1, 2, 3$ , $} t ose t B = {1, 2, 3, 4, 5}$ and one function is elected at random. If $P$ the probability that function satisfying $f (i) \leq f (j)$ whenever $i < j$ then value of 25 $p$ is equal to

Answer:

Solution:

Total number of function $= 5^{3} = 125$

Number of function satisfying $f (i) \leq f (j)$ if $i < j$

$=^{5} C_{3} +^{5} C_{2} (1 + 1) +^{5} C_{1} = 35$

Required probability $= \frac{35}{125} = \frac{7}{25}$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...