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GATE CS 2022 : Engineering Mathematics -5
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Question 1
Two smallest squares (out of 64) on a chess board are chosen at random. Probability that they have a common side is
Question 2
A purchaser of electrical components buys them in lots of size 10. It is his policy to inspect3 components randomlyfrom a lot and to accept the lot only if at most 1 component is defective. If 30 percent of the lots have 4 defective components each and rest of the lots have 1 each, what proportion of the lots does the purchaserreject?
Question 3
suppose there is two players Ram and Shyam who are throwing a pair of dice alternatively. Ram will win the game if he throws 6 before Shyam throws 5 and Shyam wins if he throws 5 before Ram throws 6. If Ram begins the play then probability of wining game by Ram is
Question 4
If a fair coin is tossed until the same result turns up in sucession (both head or both tail) then find the probability when the number of tosses are even. (Round upto two decimal places)
Question 5
Urn 1 has five white and seven black balls. Urn 2 has three white and twelve black balls. We flip a fair coin. If the outcome is heads, then a ball from urn 1 is selected, while if the outcome is tails, then a ball from urn 2 is selected. Suppose that a white ball is selected. What is the probability that the coin landed tails______________ (round upto 2 decimal places).
Question 6
Consider two bags B1 (6 Red and 5 Blue balls) and B2 (7 Red and 3 Blue Balls). A person takes a ball from bag B1 and placed it into B2 and finally choose a ball from bag B2. What is the probability that ball chosen is red___________(Round upto 3 decimal places).
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