Answer:
[B] The probability of Alex picking a red marble is 50%.
[C] They both have the same probability of picking a red marble.
Explanation:
Given;
Alex and James both have a bag of marbles.
Alex's bag has 10 red marbles and 10 blue marbles.
James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.
They each take a marble out of their bag without looking.
Solve;
Alex have 10 Blue marbles so 10 out of 20 are Blue.
James has 10 Blue Marbles so 10 out of 30 are Blue.
Hence, [A] They both have the same probability of picking a blue marble.
is False.
Alex have 10 red and 10 blue which 10 = 10
thus, [B] The probability of Alex picking a red marble is 50%.
Alex's have 10 red marbles and James's have 15 red marbles.
10 out of 20 of them are red. Thus, that 50%
15 out of 30 of them are red. Thus, that 50%
50% = 50%
Hence, [C] They both have the same probability of picking a red marble.
is true.
James have 15 red, 10 Blue, 5 Green marbles.
15 + 10 + 5 =30 [ Total ]
5 out of 30 is Green
5/30 = 0.16666666666
Round = 16.67%
Hence, [D] The probability of James picking a green marble is 5%.
is False.
15 out of 30 and 10 out of 20
15/30 = 50% and 10/20 = 50%
Thus, [E] James has a higher chance of picking a red marble than Alex.
is False.
~Learn with Lenvy~