In the 105th Congress,the senate consists of 46 Republicans, 52 Democrats & 2 In

Question

In the 105th Congress,the senate consists of 46 Republicans, 52 Democrats & 2 Independents. Among those, there are 76 Men and 24 Women. If a Committee is formed by randomly selecting four (4) different Senators, what is the Probability of selecting: a) 1st-M , next 2-W and the 4th-M. (Assuming that there is a replacement!) b) First two(2) Democrats, the next one an Independent and the last one a Republican. In the 105th Congress,the senate consists of 46 Republicans, 52 Democrats & 2 Independents. Among those, there are 76 Men and 24 Women. If a Committee is formed by randomly selecting four (4) different Senators, what is the Probability of selecting: a) 1st-M , next 2-W and the 4th-M. (Assuming that there is a replacement!) b) First two(2) Democrats, the next one an Independent and the last one a Republican. In the 105th Congress,the senate consists of 46 Republicans, 52 Democrats & 2 Independents. Among those, there are 76 Men and 24 Women. If a Committee is formed by randomly selecting four (4) different Senators, what is the Probability of selecting: a) 1st-M , next 2-W and the 4th-M. (Assuming that there is a replacement!) b) First two(2) Democrats, the next one an Independent and the last one a Republican.

Explanation / Answer

Given that

Total candidate = 100

In repacement, out of 100 , 4 can be drawn in 1004 ways=100000000 ways

a)(76c1*24c2*76c1)/100000000 = 91594176/100000000 = 0.0159

b)(52c2*2c1*46c1)/100000000 = 121992/100000000 = 0.0012

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