Whats New - Probability - Free Printable

Final Answer:
1. a) 0.3
b) No, because the probability of heads (0.3) is not equal to the probability of tails (0.7).
2. a) 60/84 = 5/7 ≈ 0.714
b) 420
3. a) Andrew: 18/63 ≈ 0.286; Jenny: 48/240 = 0.2 → Most reliable estimate is Andrew’s (larger sample size relative to total games? Wait—actually, Jenny played more games, so her estimate is more reliable: 48/240 = 0.2)
But careful: “most reliable estimate” means the one based on more trials. Jenny played 48 + 192 = 240 games; Andrew played 18 + 45 = 63. So Jenny’s estimate (48/240 = 0.2) is more reliable.

So final answers:
1a) 0.3
1b) No
2a) 5/7 (or ≈0.714)
2b) 420
3a) 0.2 (Jenny’s probability, since she played more games)

But the question says: “Use the data to work out the most reliable estimate of the probability of winning.” — So combine both? No, it says “the most reliable estimate”, and reliability increases with number of trials, so use Jenny’s: 48/(48+192) = 48/240 = 0.2

Thus:

Final Answer:
1a) 0.3
1b) No
2a) 5/7
2b) 420
3a) 0.2