An insurance company employs 10 claims adjusters at a local office where 4 adjusters deal with home insurance claims, 2 adjusters deal with auto insurance claims, and 4 adjusters deal with travel insurance claims. The local office receives 6 new reported claims from policyholders: 2 claims for auto, 3 claims for home, and 1 claim for travel.

If each reported claim is allocated to an adjuster in a random manner, determine the probability that all reported claims will be serviced by an adjuster that is qualified to service the claim.

• 0.05
• 0.0545
• 0.0622
• 0.0682
• 0.0762