In a basket of fruit there 4 oranges 3 apples and 5 bananas what is the probability of picking two consecutive bananas without replacing the fruit
1 .1/4
2. 1/9
3. 1/2
4. 2/9

⁵/33

Step-by-step explanation:

In the first picking, the probability of picking a banana is;

Probability of an event = number of outcomes/ total number of possible outcomes

5/ (4 + 3 + 5) = 5 / 12

Without replacement means the next probability of picking a banana will be;

4/(4 + 3 + 4) = 4/11

Since its the probability of picking two bananas (AND);

⁵/12 * ⁴/11

=  ⁵/33

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: