a 20) 35% of the spectators at a baseball match are New York Yankees fan and the rest are Boston Red Sox fan. 30% of the fans in both teams are females. What person of the fans are both male and Boston Red Sox fan? A) 65% B) 46% C) 54% D) 45.5%
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%of fans who are both male and Boston red Sox,B fans = 65% × 70%
= 65× 70 ×100 / (100 ×100)
=45.5%
Answer: D
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(B) The possible ways are as follows:
(i) 1 red ball out of the three and 5 blue balls out of the seven.
(ii) 2 red ball out of the three and 4 blue balls out of the seven.
∴ Total number of ways in which a random sample of six balls can be drawn
=3C1×7C5+3C2×7C4=169
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