Probability

 Probability

Formula for Probability

The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

NB: Sometimes Learners get mistaken for “favorable outcome” with “desirable outcome”. This is the basic formula. But there are some more formulas for different situations or events.

Solved Examples

1) There are 6 pillows in a bed, 3 are red, 2 are yellow and 1 is blue. What is the probability of picking a yellow pillow?

Answer: The probability is equal to the number of yellow pillows in the bed divided by the total number of pillows, i.e. 2/6 = 1/3.

2) There is a container full of colored bottles, red, blue, green and orange. Some of the bottles are picked out and displaced. Sumit did this 1000 times and got the following results:

  • No. of blue bottles picked out: 300
  • No. of red bottles: 200
  • No. of green bottles: 450
  • No. of orange bottles: 50

a) What is the probability that Sumit will pick a green bottle?

Answer: For every 1000 bottles picked out, 450 are green.

Therefore, P(green) = 450/1000 = 0.45

b) If there are 100 bottles in the container, how many of them are likely to be green?

Answer: The experiment implies that 450 out of 1000 bottles are green.

Therefore, out of 100 bottles, 45 are green.

Comments

  1. Lase19 August 2024 at 22:01

    Both thorough and easy to follow. The step-by-step explanations made complex concepts much clearer.

    ReplyDelete
  2. Olavi Hamukonda19 August 2024 at 22:55

    Well explained

    ReplyDelete
  3. Ndinnah20 August 2024 at 00:00

    I've always find it hard with topic ,look at me now .. easy~ peasy

    ReplyDelete
  4. katjiutuajahimisa20 August 2024 at 12:03

    Well explained, thanks for sharing

    ReplyDelete
  5. Ndemupewa-komwene Nghitomoka20 August 2024 at 13:09

    good work indeede

    ReplyDelete

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