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08 Nov 2019, 01:48
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When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?
A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919
08 Nov 2019, 02:36
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Let the probability of making a par or better on a par-3 hole = A = 0.3
& probability of NOT making a par or better on a par-3 hole = B = 1 - 0.3 = 0.7
Of Exactly 4 par-3 holes, Probability that Matthew will make par or better on at least one of the par-3 holes
= 1 - Probability (Exactly NO par-3 holes)
= \(1 - 4C_0*(0.7)^4\)
= \(1 - 1*0.2401\)
= \(0.7599\)
IMO Option D
& probability of NOT making a par or better on a par-3 hole = B = 1 - 0.3 = 0.7
Of Exactly 4 par-3 holes, Probability that Matthew will make par or better on at least one of the par-3 holes
= 1 - Probability (Exactly NO par-3 holes)
= \(1 - 4C_0*(0.7)^4\)
= \(1 - 1*0.2401\)
= \(0.7599\)
IMO Option D
08 Nov 2019, 03:57
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not getting into par -3 = .7
so for 4 chances we get .7^4 = .2401
1-.2401 ; .7599 at least one of the par-3 holes
IMO D
When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?
A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919
so for 4 chances we get .7^4 = .2401
1-.2401 ; .7599 at least one of the par-3 holes
IMO D
When Matthew plays his favorite golf course, his probability of making a par or better on a par-3 hole is .3. If Matthew is playing his favorite golf course, and that course has exactly 4 par-3 holes, what is the probability that Matthew will make par or better on at least one of the par-3 holes?
A. 0.0081
B. 0.2401
C. 0.3000
D. 0.7599
E. 0.9919
