Learn Class 10 with Free Lessons & Tips

Classes explore different scenarios using manipulatives to learn about the difference between independent and dependent probability. Learners experiment with colored chips to model the two types of probabilities. To test their understanding, individuals sort independent and dependent probabilities into like groups.

Real Life Context The following examples could be used to explore real life contexts.

Looking at statistics from the Census, questions like:

• How long will I live?

• Will I get married?

• How many children will I have? These questions can be answered with some degree of certainty based on population statistics. Life assurance companies work out how much to charge for their premiums based on tables of life expectancy. Why are some premiums cheaper than others?

The following examples could be used to explore misconceptions:

• What is the most difficult number to get when throwing a fair die?

• Random events should have outcomes which appear random; for example, in the lotto theory tells us that any of the six numbers is equally likely to turn up, yet more people choose randomly spaced numbers than numbers which form a pattern like 1,2,3,4,5,6 etc.

• The likelihood of 2 consecutive numbers appearing in any Lotto draw (which is > 50%) could easily be investigated by reference to a number of recent draws.

Timber traces back to an Old English word initially meaning “house” or “building” that also came to mean “building material,” “wood,” and “trees” or “woods.” The trees are chopped down so that their wood could be put to use. The logs and wood, timber, are used for carpentry and to make furniture

154/3 cm²

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Minute hand complete full circle in 1 hour.

To solve this problem, we first find the area the calf can graze with a rope of length 6 m and then find the area it can graze with a rope of length 11.5 m. The difference between these areas will give us the increase in the area of the grassy lawn the calf can graze.

In a standard deck of 52 playing cards, there are 2 black queens: the queen of spades and the queen of clubs.

1. Total number of possible outcomes (total number of cards): There are 52 cards in a standard deck.

2. Total number of favorable outcomes (black queens): There are 2 black queens in the deck.

Now, let's calculate the probability of drawing a black queen:

Probability=Number of favorable outcomesTotal number of possible outcomes

To find the probability of getting a black ball, we need to consider the total number of balls in the bag and the number of black balls.