Probability questions | form four Basic Mathematics

A die and a coin are tossed together. What is the probability of getting a tail and an even number?

Answer / Solution

UNSOLVED

A box contains 7 red balls and 14 black balls. Two balls are drawn at random without replacement.
(a) Draw a tree diagram to show the results of the drawing.
(b) Find the probability that both are black.
(c) Find the probability that they are of the same colour.
(d) Find the probability that the first is black and the second is red.

(e) Verify the probability rule P(A) + P(A′) = 1 by using the results in part (b).

Answer / Solution

UNSOLVED

The probability that Juma and Rose will be selected to join A-Level studies after completing their O-Level studies is 0.7 and 0.4 respectively.

Calculate the probability that

1. Both of them will be selected
2. Either Rose or Juma will be selected

Answer / Solution

UNSOLVED

The numbers 1 to 20 are each writen on a card, the 20 cards are then mixed together. One card is chosen at random from the pack.

Find the probabilty that the number on the card is

1. even
2. a factor of 24
3. prime

Answer / Solution

UNSOLVED

Box A has 10 light bulbs of which 4 are defective and box 13 has 6 light
bulbs of which 1 is defective, if a box is selected at random and then a bulb is
randomly drawn, calculate the probability that the bulb drawn is defective.

Answer / Solution

UNSOLVED