Question

In a race in which there are no dead heats ,the probability that ravi wins is 0.2 , the probability that shekhar wins is 0.3 and the probability that imran wins is 0.4. Find the probability that

1) ravi or imran wins

2) ravi or shekhar or imran wins​

Answer 1

Given,

Probability that Ravi wins = 0.2

Probability that Shekhar wins = 0.3

Probability that Imran wins = 0.4

As per the question,

1) P(Ravi or Imran wins)

= P(Ravi wins) + P(Imran wins)

= 0.2 + 0.4

= 0.6

2) P(Ravi or Shekhar or Imran wins)

= P(Ravi wins) + P(Shekhar wins) + P(Imran wins)

= 0.2 + 0.3 + 0.4

= 0.9.

3) P(Someone else wins)

= 1 - P(Ravi or Shekhar or Imran wins)

= 1 - 0.9

=0.1.

Answer 2

Given:-

P(R)=0.2

P(S)=0.3

P(I)=0.4

Acc to que

✔✔ We use Addition theorem here⤵️⤵️

For first condition:-

P(R or I)= P(R)+P(I)

= 0.2+0.4

=0.6

Second condition:-

P(I or R or S) = P( I)+P(R)+P(S)

= 0.3+0.2+0.4

=0.9

If there is one more condition Arises that is :-

Find the probability of not wining a match for the first condition

Than :-

P(A)+P(A (bar))=1

So

that is

1-0.6=P(A) bar

.04

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