SOLUTION: Naval intelligence reports that 7 enemy vessels in a fleet of 21 are carrying nuclear weapons. If 6 vessels are randomly targeted and destroyed, what is the probability that more t

Question 1148872: Naval intelligence reports that 7 enemy vessels in a fleet of 21 are carrying nuclear weapons. If 6 vessels are randomly targeted and destroyed, what is the probability that more than 1 vessel transporting nuclear weapons was destroyed? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer by ikleyn(52834) (Show Source): You can put this solution on YOUR website!
.


Probability  P(more than 1 vessel) = P(2 vessels) + P(3 vessels) + P(4 vessels) + P(5 vessels) + P(6 vessels).


P(2 vessels) =                  =  0.1


P(3 vessels) =              = 0.026316


P(4 vessels) =          = 0.005848


P(5 vessels) =      = 0.001032


P(6 vessels) =  = 0.000129


Probability  P(more than 1 vessel) is the sum of the numbers in the last column, which is  0.133325  (approximately),

or   0.1333,  rounded as requested.

Solved.

RELATED QUESTIONS
Naval intelligence reports that 6 enemy vessels in a fleet of 21 are carrying nuclear... (answered by Theo)

The ratio of milk:water in two vessels is 4:3 and 9:1 respectively. what ratio of... (answered by josgarithmetic)

1)The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In (answered by mananth)

Lookouts on two naval vessels, about 2 miles apart, spot a disabled boat off the port... (answered by ikleyn)

Solving Equations with Fractions: Nuclear arsenal. The U.S. and Russia agreed to cut... (answered by rothauserc)

milk and water are mixed in a vessel A in a ratio of 5:2 and in a vessels B in the... (answered by josgarithmetic)

A map shows that the waters within arc ARC, a 250° arc, is dangerous for shipping... (answered by mananth)

I got 15.7 for A, but am not sure how to figure out B and need some assistance please and (answered by reviewermath)

I got 15.7 for A, but am not sure how to figure out B and need some assistance please and (answered by stanbon)