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problem1. When you toss a coin 5 times, what is the probability of?

- throwing 5 heads
- throwing 4 tails
- throwing 3 heads and 2 tails

problem2. Make a tree diagram to verify your answers for Q1.

problem3. When you throw a dice 4 times, what is the probability of?

- throwing 4 sixes
- throwing 3 fives and a 2
- scoring 16 in total

problem4. a) Provide two exs of independent events.

Elucidate why they are independent.

b) A card is to be selected from a pack of cards and a die is to be thrown.  Find out the probability that the result will be:

- A spade and an even number on the die.
- A red card and a number less than 5 on the die

problem5. a) Give two exs of communally exclusive events.  Elucidate why they are communally exclusive.

b) A coin is tossed and a die is thrown.  Find out the probability that the result will be a head or a number greater than 4, or both.

problem6. A box contains 3 Red balls, 6 Green Balls and 5 Blue balls.  Three balls were drawn at random. Use the Combinations concept, work out the probability for the subsequent cases:

1 is red and the other 2 are blue.
2 are green balls and the other is red.
None are green balls.

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  • Category:- Math
  • Reference No.:- M9976

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