mohan514 wrote:

I do not think we have to do serious math to answer this question. Both events happening vs any one event happening. B would be greater for obvious reason.

Both events happening = 0.5*0.4 = 0.2

any one event happening = 0.5+0.4 - 0.9

Please correct me on Math part if wrong.

kruttikaaggarwal wrote:

I could figure out the A answer but I was not so sure of the method for B. Help please?

So lets see Quantity A: Both get degree = \(P(tom) \times P(john)=0.5 *0.4=0.2\).

Quantity B: Atleast one degree gets awarded. We can write the following cases:

Tom gets a degree John doesnot = \(0.5 * (1-0.4)=0.3\)

John gets a degree Tom doesnot = \(0.4 * (1-0.5)=0.2\)

Both get a degree = \(0.4 *0.5=0.2\)

Total probability for quantity B is \(0.7\).

Hence B is greater.
_________________

Sandy

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