__Mini Task 4:__

(a) Flipping a coin and getting heads, then flipping it again and getting tails

Ans: Independent. Flipping heads the first time does not mean that the coin will be more/less likely to land tails the second time. The chances are still 1/2.

(b) Rolling doubles with two dice, then rolling doubles again.

Ans: Independant. Rolling doubles the first time does not make it more/less likely that a double will be rolled a second time. The dice cannot "remember" its previous result and change the next result.

(c) Drawing (and removing) two aces from a normal deck cards, then drawing kings.

Ans: Dependant. After removing the 2 aces, there are less cards in the deck, so the deck "remembers" that 2 aces are already picked, so it is more likely that a king will be picked.

(d) Drawing (and removing) a red ball initially containing two red balls and three white balls, then drawing a white ball.

Ans: Dependent. After removing the first red ball, there are less balls in the bag, so there is a higher chance of picking a white ball.

__Mini Task 5:__

(a) 13/100 x 8/100 = 13/1250

(b) 1/6 x 1/6 = 1/36

(c) 1/52 x 1/52 = 1/2704

(d) 1/100 x 1/100 = 1/10000

__Example 13__

P(Getting heads 3 times in 3 tosses)

= 1/2 x 1/2 x 1/2

= 1/8

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Links:

They could have written P(x)= answer for mini task 5, so that its clear what is the probability for.

ReplyDeleteMini Task 4 part b) One can only roll doubles using two dice, does that make them dependent?

ReplyDeleteVery Clear, but for example three, if they had posted the question, it would have been better

ReplyDeleteIt is very clear and well done. Maybe define what independent and dependent events are?

ReplyDelete@shiying, weather or not the 2 dice will show the same number (making it a double) is dependent as weather or not we get a double on the second throw is dependent on the first throw.. But the example is talking about the event (rolling a double) happening twice. If we roll a double once, it does not affect weather we are more likely to roll a double

ReplyDeleteVery in-depth but should include a summary of what independent events are

ReplyDeleteNeeds some Diagrams or photo but well explained

ReplyDeleteVery clear explanation however adding a question might have been better

ReplyDeleteFor Mini task 4, they can describe what is the difference between independent and dependent events so that it will be easier to understandt mini task 4.

ReplyDeleteDiagrams or tables would help in the understanding

ReplyDeleteThis is a very clear and elaborate guide. However, it would have been better if there were pictures to help the viewer visualise the question better.

ReplyDeleteDiagrams or photos would make the explanation clearer.

ReplyDeleteAlong with some pictures, I think that it would be better to establish what 'dependent' and 'independent' events are before going on to provide examples to further explain your point.

ReplyDelete