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Core Mathematics

Core Mathematics · Quick practice · answer shown after each question

Probability of combined events

Question 1 of 10

Question 1 of 10

A bag contains 4 red and 6 blue balls. Two balls are picked one after the other with replacement. Find P(both red).

Question 2 of 10

Question 2 of 10

For independent events, P(A and B) =

Question 3 of 10

Question 3 of 10

A bag contains 4 red and 6 blue balls. Two balls are picked without replacement. Find P(one of each colour).

Question 4 of 10

Question 4 of 10

Two events are independent if

Question 5 of 10

Question 5 of 10

The probabilities that Kofi and Ama pass an examination are 0.6 and 0.5 respectively, independently. Find the probability that (a) both pass, (b) neither passes, (c) only one passes, (d) at least one passes.

Question 6 of 10

Question 6 of 10

For mutually exclusive events, P(A or B) =

Question 7 of 10

Question 7 of 10

A and B are independent with P(A) = 0.5 and P(B) = 0.3. P(A and B) = ___

Question 8 of 10

Question 8 of 10

The probability of at least one head in two tosses is 3/4.

Question 9 of 10

Question 9 of 10

The probabilities that Kofi and Ama pass an examination are 0.6 and 0.6 respectively, independently. Find the probability that (a) both pass, (b) neither passes, (c) only one passes, (d) at least one passes.

Question 10 of 10

Question 10 of 10

The probabilities that Kofi and Ama pass an examination are 0.7 and 0.75 respectively, independently. Find the probability that (a) both pass, (b) neither passes, (c) only one passes, (d) at least one passes.

Questions written by OtisamLMS in the style of the WASSCE. They are not WAEC past questions.