What is the probability that the first ball is red

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Question No 1:

a). The numbers 10 to 18 inclusive are written on slip of paper and the slips are placed in a bag and thoroughly mixed. One slip is drawn from the bag random. What is the probability that the number on the slip is even? Divisible by 4?

b). An urn contains 5 black balls, 6 red balls, and 3 white balls. Four balls are drawn in succession each ball being replaced after the next one is drawn. What is the probability that the first ball is red, the second white and the tired black.

c). In a factory machine A produces 70% of the output and machine B produces 30%. On the average 8 items in 1000 produced by A are defective and 5 items in 1000 produced by B are defective. An item drawn at random from a day’s output is defective. What is the probability that it was produced by A or B?

d). Three friends have applied for three different positions in different departments. Each has a probability of 0.3 of being selected. What is the probability that at least one of them is selected?

e). A hockey player’s probability of connecting a penalty corner is 2/5. Find the probability that he connects 3 out of 6 chances in the same match.

f). Approximately 30% of all homes in a locality have washing machines. What is the probability that in a sample of 80 homes from that locality fewer than 30 would have washing machines?

Reference no: EM13337852

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