Learn the basics of probability as a measure of chance, calculating the likelihood of simple events using an experimental and theoretical approach.
Probability of an event = (number of favourable outcomes) / (total number of equally likely outcomes), always a number between 0 and 1.
A bag has 4 red balls and 6 blue balls. Find the probability of drawing a red ball.
4/10=2/5
A coin is tossed once. Find the probability of getting heads.
1/2
Experimental probability is based on actual trial results: (number of times event occurs) / (total number of trials) — useful when outcomes aren't equally likely by nature.
A coin is tossed 50 times, landing heads 28 times. Find the experimental probability of heads.
28/50=0.56
Why might experimental probability differ from theoretical probability?
Because experimental results depend on the actual random trials conducted, which may not perfectly match the theoretical expectation, especially with fewer trials
1. A die is rolled once. Find the probability of getting a 5.
2. A bag has 3 red, 2 blue, 5 green balls. Find the probability of drawing green.
3. A coin is tossed 100 times, landing tails 45 times. Find the experimental probability of tails.
4. A card is drawn from a deck of 52. Find the probability it's an ace.
5. Why is probability always between 0 and 1?