Question

The probability that a student will solve problem A is 0.6 and that he will not solve problem B is 0.5. If the probability that the student solves at least one problem is 0.8. What is the probability that he will solve both the problems?

Answer 1

Answer:

0.3

Step-by-step explanation:

P(Can solve A) = 0.6

P(Can solve B) = 0.5

P(Can solve at least A or B ) = 0.8

Find the probability that a student can solve both:

P(Solve both) = 0.6 + 0.5 - 0.8 = 0.3

Answer: The probability is 0.3

Answer 2

# Answer- 0.3

# Solution-

# Given-

P(A)=0.5

P(B)=0.6

P(AᴜB)=0.8

# Formula-

For any two sets A and B,

P(AᴜB) = P(A) + Pn(B) – P(A∩B)

0.8 = 0.5 + 0.6 - P(A∩B)

P(A∩B) = 1.1 - 0.8

P(A∩B) = 0.3

The propability that he will solve both problems A and B is 0.3

Hope that solved your doubt.