alleryStart learning →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:
- 0.12
- 0.1
- 1.0
- 0.7
Show answer and solution
Correct answer: D. 0.7
For mutually exclusive events, P(A∪B) = P(A)+P(B) = 0.3+0.4 = 0.7.
Indian Navy INET Permutations and Combinations — practice questions
Explore 57 free Permutations and Combinations questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 57.
If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →The double angle formula sin 2A equals:Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →Trace how trigonometry travelledRead the answer and worked solution →
Worked practice questions
The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:
- (6, 10)
- (1, 2)
- (2, 4)
- (3, 5)
Show answer and solution
Correct answer: D. (3, 5)
((2+4)/2, (3+7)/2) = (3,5).
What are the coordinates of the origin?
- (1, 0)
- (0, 1)
- (1, 1)
- (0, 0)
Show answer and solution
Correct answer: D. (0, 0)
The origin is the intersection of the two axes: x = 0 and y = 0, so the coordinates are (0, 0).
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