A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.

Respuesta :

P( it occurring once) = Β 6/11

Now as the 3 Β events are independent we multiply the probs:-

P( apple picked 3 times) = 6/11 * 6/11 * 6/11 = Β 216/1331 Β or about 16.2%

Answer:

16.22%

Step-by-step explanation:

A basket contains six apples and five peaches.

Total fruits in the basket = 6 + 5 = 11

The probability of selecting a piece of fruit is an apple Β [tex]P_{1}=\frac{6}{11}[/tex]

Now return it to the basket and select a fruit. so all events are independent.

Therefore, the probability of each time selecting an apple is same.

Probability=[tex]P_{1}\times P_{2}\times P_{3}[/tex]

P =[tex]\frac{6}{11}[/tex]Γ—Β [tex]\frac{6}{11}[/tex]Γ—[tex]\frac{6}{11}[/tex]

Β  =[tex]\frac{216}{1331}[/tex] = 16.22%

The probability of all three times the fruit is an apple is 16.22%