The probability that at least four of them can hit the ball at least 300 yards is 0.117.
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The probability of hitting the ball, P( hit) = 0.35
The probability of not hitting the ball, P( not hit) = 0.65
Using probability distribution theorem;
[tex]P(4 hit) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
Here n = 6 , x = 4
[tex]P(4 hit) = \: ^6C_4(0.35)^4(1-0.35)^{6-4}\\\\P(4 hit) = \: ^6C_4(0.35)^4(0.65)^{2}\\\\P(4 hit) = \: 15(0.35)^4(0.65)^{2}[/tex]
[tex]P(5hit) = \: ^6C_5(0.35)^5(0.65)^{1}\\\\P(5hit) = \: 6(0.35)^5(0.65)[/tex]
[tex]P(6 hit) = \: ^6C_6(0.35)^6(0.65)^{0}\\\\P(6 hit) = \: (0.35)^6[/tex]
The probability that at least four of them can hit the ball at least 300 yards is 0.117.
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