Home
Class 12
MATHS
Let A and B be two events such that P(A)...

Let A and B be two events such that `P(A)=0.3` and `P(AuuB)= 0.8`. If A and B are independent events, then `P(B)=`

Text Solution

Verified by Experts

`P(AuuB)=P(A)+P(B)-P(A)P(B)," as A and B are independent events."`
`implies" "0.8=(0.3)+P(B)-(0.3)P(B)`
`implies" "0.5=(0.7)P(B)impliesP(B)=(5)/(7)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 3 INDEPENDENT AND CONDITIONAL PROBABILITY OBJECTIVE QUESTION II (ANALYTICAL AND DESCRIPTIVE QUESTIONS )|11 Videos
  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 3 INDEPENDENT AND CONDITIONAL PROBABILITY OBJECTIVE QUESTION II (INTEGER ANSWER TYPE QUESTION )|1 Videos
  • PROBABILITY

    IIT JEE PREVIOUS YEAR|Exercise TOPIC 3 INDEPENDENT AND CONDITIONAL PROBABILITY OBJECTIVE QUESTION II (ONLY ONE CORRECT OPTION)|8 Videos
  • PERMUTATIONS AND COMBINATIONS

    IIT JEE PREVIOUS YEAR|Exercise Dearrangement and Number of Divisors (Fill in the Blank )|1 Videos
  • RELATIONS AND FUNCTIONS

    IIT JEE PREVIOUS YEAR|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two events such that P(A)=0.3 and P(A uu B)=0.8. If A and B are independent events,then P(B)=

A and B are two events such that P(A) = 0.3 and P (A uu B) = 0.8 . If A and B are independent, then P (B) is

A and B are two events such that P(A)=0.5, P(A uubar(B))=0.7 .If A and B are independent events P(B)=

A and B are two events such that P(A)=0.4,P(A uu B)=0.7 If A and B are independent then P(B)=

If A and B be two events such that P(A)=1//4, P(B)=1//3 and P(AuuB)=1//2 show that A and B are independent events.

Let A and B be independent events such that P(A) =0.6 and P(B ) =0.4. find P(A nn B)

Let A and B be independent events such that P(A) =0.6 and P(B ) =0.4. find P (barA nn B )